Years IIT-JEE CHAPTERWISE SOLVED PAPERS MATHEMATICS

Size: px
Start display at page:

Download "Years IIT-JEE CHAPTERWISE SOLVED PAPERS MATHEMATICS"

Transcription

1

2 Years IIT-JEE CHAPTERWISE SOLVED PAPERS MATHEMATICS

3 Information contained in this work has been obtained by Career Point from sources believed to be reliable. However, neither Career Point nor its authors guarantee the accuracy or completeness of any information published herein, and neither Career Point nor its authors shall be responsible for any errors, omissions, or damages arising out of use of this information. This work is published with the understanding that Career Point and its authors are supplying information but are not attempting to render any professional services. If such services are required, the assistance of an appropriate professional should be sought. CAREER POINT CP Tower, Road No.-, IPIA, Kota (Raj.) publication@cpil.in Copyright 06, by Career Point Ltd. No part of this publication may be reproduced or distributed in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise or stored in a database or retrieval system without the prior written permission of the Publishers. The program listings (if any) may be entered, stored and eecuted in a computer system, but they may not be reproduced for publication. This edition can be eported from India only by the publisher. Published by Career Point Ltd. CP Tower, Road No.-, IPIA, Kota (Raj.) publication@cpil.in

4 Preface Whenever a student decides to prepare for any eamination, her/his first and foremost curiosity about the type of questions that he/she has to face. This becomes more important in the contet of competitive eaminations where there is neck-to-neck race. We feel great pleasure to present before you this book. We have made an attempt to provide chapter wise questions asked in IIT-JEE / JEE Advanced from 978 to 06 along with solutions. Solutions to the questions are not just sketch rather have been written in such a manner that the students will be able to under the application of concept and can answer some other related questions too. We firmly believe that the book in this form will definitely help a genuine, hardworking student. We have tried our best to keep errors out of this book. Comment and criticism from readers will be highly appreciated and incorporated in the subsequent edition. We wish to utilize the opportunity to place on record our special thanks to all team members of Content Development for their efforts to make this wonderful book. Career Point Ltd.

5 Chapter CONTENTS Page No.. Logarithm and their Properties. Theory of Equations 5 0. Sequences & Series 9 0. Comple Numbers Permutation & Combination Binomial Theorem Probability Determinants Matrices Functions Limits Cont...

6 Chapter Page No.. Continuity & Differentiability Differentiation Tangent & Normal Monotonicity Maima & Minima Indefinite Integration Definite Integration Area under the curve Differential Equation 9 6. Point & Straight Lines Circle Parabola Cont...

7 ,, Chapter Page No.. Ellipse 9 5. Hyperbola Vectors D Geometry Trigonometric ratio & Identities Trigonometric Equations Inverse Trigonometric Functions Properties of Triangles Height & Distance Mathematical Induction Miscellaneous Model Test Papers Practice Test [Paper ] 579 Practice Test [Paper ] 585 Practice Test [Paper ] 59 Practice Test [Paper ] 599

8 Chapter Logarithm and their Properties ONLY ONE CORRECT ANSWER. The least value of the epression 0 (0.0), for >, is : [980] (A) 0 (B) (C) 0.0 (D) None of these. If 0. ( ) < 0.09 ( ), then lies in the interval : [985, M] (A) (, ) (B) (, ) (C) (, ) (D) None of these 5 ( ) +. The equation (A) at least one real solution (B) eactly three real solutions (C) eactly one irrational solution (D) comple roots = has : [987, M]. The number 7 is : [990, M] (A) an integer (B) a rational number (C) an irrational number (D) a prime number ONE OR MORE THAN ONE CORRECT ANSWERS. If =, then = [0] (A) (B) (C) (D) ANALYTICAL & DESCRIPTIVE QUESTIONS. Solve for the following equation : ( + ) (6 + + ) = ( + 7) ( + + 9) [987, M]. The value of is [0] 5. The number of solutions of ( ) = ( ) is : [00] (A) (B) (C) (D) 0 6. Let ( 0, y 0 ) be the solution of the following equations () ln = (y) ln ln = ln y Then 0 is [0] (A) (B) 6 (C) (D) 6

9 TOPIC- WISE JEE Advanced Questions with Solutions ANSWERS Only One Correct Answer. (D). (A). (B). (C) 5. (B) 6. (C) One or More than One Correct Answers. (A,B,C) Analytical & Descriptive Question. =.

10 LOGARITHM AND THEIR PROPERTIES SOLUTIONS Only One Correct Answer. Here, 0 (0) ( ) = = = 0 + () 0 using, A.M. G.M., we get or 0 (0.0) least value is. 0 / (). 0. ( ) < 0.09 ( ) Here, > 0 and (0.) ( ) < ( ) (0.) > and 0. ( ) < 0. ( ) > and (0.) ( ) < 0 > and > > and > (, ) 5 ( ) +. = ( ) 5 + = ( ) 5 + = ( ) + ( ) 5( ) = 0 Put, = y y + y 5y = 0 (y ) (y + ) (y + ) = 0 y =,, =,, =, /,. Let = 7 = 7. Which is only possible for irrational number. 5. ( ) = ( ) = / ( ) ( ) = ( ) ( ) = ( ) ( ) = = = = 0 ( 5) ( 5) = 0 ( ) ( 5) = 0 =, or = 5 Hence, = 5 [ = makes ( ) undefined]. Therefore, (B) is the answer. 6. () ln = (y) ln ln (ln + ln ) = ln (ln + ln y) ln. ln ln ln y = (ln ) (ln )...() ln = ln y ln. ln = lny. ln ln ln y = ln ln Solving () & () ln = ln = One or More than One Correct Answers. = Take both sides = ( ) = ( ) ( ) =...()

11 = = = Analytical & Descriptive Question. ( + ) (6 + + ) = ( + 7) ( + + 9) ( + ) ( + ).( + 7) = ( + 7) ( + ) + ( + ) ( + 7) = ( + 7) ( + ) Put ( + ) ( + 7) = y TOPIC- WISE JEE Advanced Questions with Solutions. Let =... = + = = 6 = +7 6 = 6 + / = 6 +./ 9 = 6 = 8 y + = 0 y y y + = 0 (y ) (y ) = 0 y = or y = ( + ) ( + 7) = or ( + ) ( + 7) = + 7 = + or ( + 7) = ( + ) = or + 7 = = = 0 ( + ) ( + ) = 0 =,. =,, But, eists only when, > > 0, + > 0 and + 7 > 0 > = is the only solution.

Test Codes : MIA (Objective Type) and MIB (Short Answer Type) 2007

Test Codes : MIA (Objective Type) and MIB (Short Answer Type) 2007 Test Codes : MIA (Objective Type) and MIB (Short Answer Type) 007 Questions will be set on the following and related topics. Algebra: Sets, operations on sets. Prime numbers, factorisation of integers

More information

2015 (No. of Questions)

2015 (No. of Questions) TREND ANALYSIS OF JEE Advanced PHYSICS The complexity of the JEE arises from the fact that the questions are always unique in their context, and solving them often requires a combination of concepts from

More information

FOUNDATION & OLYMPIAD

FOUNDATION & OLYMPIAD Concept maps provided for every chapter l Set of objective and subjective questions at the end of each chapter l Previous contest questions at the end of each chapter l Designed to fulfill the preparation

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving rational epressions

More information

Core Mathematics 2 Unit C2 AS

Core Mathematics 2 Unit C2 AS Core Mathematics 2 Unit C2 AS compulsory unit for GCE AS and GCE Mathematics, GCE AS and GCE Pure Mathematics C2.1 Unit description Algebra and functions; coordinate geometry in the (, y) plane; sequences

More information

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions.

Algebra II. A2.1.1 Recognize and graph various types of functions, including polynomial, rational, and algebraic functions. Standard 1: Relations and Functions Students graph relations and functions and find zeros. They use function notation and combine functions by composition. They interpret functions in given situations.

More information

Total Applicants in Throughout India From AP & TS(OFF LINE)

Total Applicants in Throughout India From AP & TS(OFF LINE) Total Applicants in Throughout India From AP & TS(OFF LINE) 144580 (Approximately) From AP 70000(Approx) From TS 74580(Approx) Total Seats in 31 NIIT s 18013 Total Seats in IIIT s 3433 Seats in self-financing

More information

Extrema and the Extreme Value Theorem

Extrema and the Extreme Value Theorem Extrema and the Extreme Value Theorem Local and Absolute Extrema. Extrema are the points where we will find a maximum or minimum on the curve. If they are local or relative extrema, then they will be the

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Information Pre-Calculus and Capacity Matri Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational epressions Solve polynomial equations and equations involving

More information

SYLLABUS FOR ENTRANCE EXAMINATION NANYANG TECHNOLOGICAL UNIVERSITY FOR INTERNATIONAL STUDENTS A-LEVEL MATHEMATICS

SYLLABUS FOR ENTRANCE EXAMINATION NANYANG TECHNOLOGICAL UNIVERSITY FOR INTERNATIONAL STUDENTS A-LEVEL MATHEMATICS SYLLABUS FOR ENTRANCE EXAMINATION NANYANG TECHNOLOGICAL UNIVERSITY FOR INTERNATIONAL STUDENTS A-LEVEL MATHEMATICS STRUCTURE OF EXAMINATION PAPER. There will be one -hour paper consisting of 4 questions..

More information

Prepared By M.Uma Sankar [National IIT Co-ordinator]

Prepared By M.Uma Sankar [National IIT Co-ordinator] Prepared By M.Uma Sankar [National IIT Co-ordinator] Total Applicants in Throughout India From AP & TS(OFF LINE) Total Seats in 31 NIIT s 18013 Total Seats in IIIT s 2228 Seats in self-financing institutions

More information

Curriculum Catalog. Algebra II Glynlyon, Inc Released

Curriculum Catalog. Algebra II Glynlyon, Inc Released Curriculum Catalog Algebra II 2011 Glynlyon, Inc Released 4-1-11 Welcome to Switched-On Schoolhouse! We are excited that you are including Switched-On Schoolhouse as part of your program of instruction,

More information

Quantile Textbook Report

Quantile Textbook Report Quantile Textbook Report Algebra 2 Author Charles, Randall I., et al StateEdition West Virginia Grade Algebra 2 1 Expressions, Equations, and Inequalities 1.1 Patterns and Expressions 930Q 1.2 Properties

More information

JEE (Advanced) 2016 Question Paper Analysis:

JEE (Advanced) 2016 Question Paper Analysis: JEE (Advanced) 2016 Question Paper Analysis: JEE (advanced) 2016 had two Papers, Paper-1 and Paper-2, each containing three parts, Physics, Chemistry and Mathematics. Each part in each paper had 18 questions

More information

Sophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012

Sophomore Year: Algebra II Textbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Sophomore Year: Algebra II Tetbook: Algebra II, Common Core Edition Larson, Boswell, Kanold, Stiff Holt McDougal 2012 Course Description: The purpose of this course is to give students a strong foundation

More information

PAPER ¼isij½- 1. SECTION-1 (Maximum Marks : 24)

PAPER ¼isij½- 1. SECTION-1 (Maximum Marks : 24) JEE (Advanced) (ADVANCED) 06 08 PAPER ¼isij½- -05-06 DATE: 0-05-08 This question paper has three (0) parts: PART-I: Physics, PART-II: Chemistry and PART-III: Mathematics. Each part has total of eighteen

More information

2. Determine the domain of the function. Verify your result with a graph. f(x) = 25 x 2

2. Determine the domain of the function. Verify your result with a graph. f(x) = 25 x 2 29 April PreCalculus Final Review 1. Find the slope and y-intercept (if possible) of the equation of the line. Sketch the line: y = 3x + 13 2. Determine the domain of the function. Verify your result with

More information

IB Mathematics Standard Level Revision guide

IB Mathematics Standard Level Revision guide IB Mathematics Standard Level Revision guide F.G. Groeneveld TopClassTutors.ORG Copyright 2016 by F. Groeneveld All rights reserved. No part of this publication may be reproduced, distributed, or transmitted

More information

Pre-Calculus with Limits

Pre-Calculus with Limits Pre-Calculus with Limits John Gomm jgomm@sanroque.net Pre-Calculus mathematics extends algebra and geometry into advanced trigonometry, matrix math, series, alternative graphing coordinate systems, limits,

More information

Solutions to Problem Sheet for Week 11

Solutions to Problem Sheet for Week 11 THE UNIVERSITY OF SYDNEY SCHOOL OF MATHEMATICS AND STATISTICS Solutions to Problem Sheet for Week MATH9: Differential Calculus (Advanced) Semester, 7 Web Page: sydney.edu.au/science/maths/u/ug/jm/math9/

More information

Complete Syllabus of Class XI & XII

Complete Syllabus of Class XI & XII Regd. Office : Aakash Tower, 8, Pusa Road, New Delhi-0005 Ph.: 0-7656 Fa : 0-767 MM : 0 Sample Paper : Campus Recruitment Test Time : ½ Hr. Mathematics (Engineering) Complete Syllabus of Class XI & XII

More information

Catholic Central High School

Catholic Central High School Catholic Central High School Course: Basic Algebra 2 Department: Mathematics Length: One year Credit: 1 Prerequisite: Completion of Basic Algebra 1 or Algebra 1, Basic Plane Geometry or Plane Geometry,

More information

Algebra 2 (2006) Correlation of the ALEKS Course Algebra 2 to the California Content Standards for Algebra 2

Algebra 2 (2006) Correlation of the ALEKS Course Algebra 2 to the California Content Standards for Algebra 2 Algebra 2 (2006) Correlation of the ALEKS Course Algebra 2 to the California Content Standards for Algebra 2 Algebra II - This discipline complements and expands the mathematical content and concepts of

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE III. Friday, January 25, :15 a.m. to 12:15 p.m.

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION COURSE III. Friday, January 25, :15 a.m. to 12:15 p.m. The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Friday, January 5, 00 9:5 a.m. to :5 p.m., only Notice... Scientific calculators

More information

BE SURE THAT YOU HAVE LOOKED AT, THOUGHT ABOUT AND TRIED THE SUGGESTED PROBLEMS ON THIS REVIEW GUIDE PRIOR TO LOOKING AT THESE COMMENTS!!!

BE SURE THAT YOU HAVE LOOKED AT, THOUGHT ABOUT AND TRIED THE SUGGESTED PROBLEMS ON THIS REVIEW GUIDE PRIOR TO LOOKING AT THESE COMMENTS!!! Review Guide for MAT0 Final Eam Part I. Thursday December 7 th during regular class time Part is worth 50% of your Final Eam grade. Syllabus approved calculators can be used on this part of the eam but

More information

Pre-Calculus and Trigonometry Capacity Matrix

Pre-Calculus and Trigonometry Capacity Matrix Review Polynomials A1.1.4 A1.2.5 Add, subtract, multiply and simplify polynomials and rational expressions Solve polynomial equations and equations involving rational expressions Review Chapter 1 and their

More information

CAREER POINT. PRMO EXAM-2017 (Paper & Solution) Sum of number should be 21

CAREER POINT. PRMO EXAM-2017 (Paper & Solution) Sum of number should be 21 PRMO EXAM-07 (Paper & Solution) Q. How many positive integers less than 000 have the property that the sum of the digits of each such number is divisible by 7 and the number itself is divisible by 3? Sum

More information

CHAPTER-1. SETS. Q.4 Write down the proper subsets of { a, b, Q.5 Write down the power set of { 5,6,7 }? Verify the following result :

CHAPTER-1. SETS. Q.4 Write down the proper subsets of { a, b, Q.5 Write down the power set of { 5,6,7 }? Verify the following result : CHAPTER-. SETS Q. Write the following sets in roster form (i) A = { : is an integer and 5 5 } (ii) B = { : is a natural number and < < 4} (iii) C= { : is a two- digit natural number such that sum of digit

More information

MockTime.com. (b) (c) (d)

MockTime.com. (b) (c) (d) 373 NDA Mathematics Practice Set 1. If A, B and C are any three arbitrary events then which one of the following expressions shows that both A and B occur but not C? 2. Which one of the following is an

More information

High School Mathematics Honors PreCalculus

High School Mathematics Honors PreCalculus High School Mathematics Honors PreCalculus This is an accelerated course designed for the motivated math students with an above average interest in mathematics. It will cover all topics presented in Precalculus.

More information

Graphing and Optimization

Graphing and Optimization BARNMC_33886.QXD //7 :7 Page 74 Graphing and Optimization CHAPTER - First Derivative and Graphs - Second Derivative and Graphs -3 L Hôpital s Rule -4 Curve-Sketching Techniques - Absolute Maima and Minima

More information

Troy High School AP Calculus Summer Packet

Troy High School AP Calculus Summer Packet Troy High School AP Calculus Summer Packet As instructors of AP Calculus, we have etremely high epectations of students taking our courses. We epect a certain level of independence to be demonstrated by

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents PRE-CALCULUS COURSE OVERVIEW...1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT

More information

Summer Review Packet for Students Entering AP Calculus BC. Complex Fractions

Summer Review Packet for Students Entering AP Calculus BC. Complex Fractions Summer Review Packet for Students Entering AP Calculus BC Comple Fractions When simplifying comple fractions, multiply by a fraction equal to 1 which has a numerator and denominator composed of the common

More information

CIVIL ENGINEERING

CIVIL ENGINEERING CIVIL ENGINEERING ESE SUBJECTWISE CONVENTIONAL SOLVED PAPER-I 1995-018 Office: F-16, (Lower Basement), Katwaria Sarai, New Delhi-110 016 Phone: 011-65 064 Mobile: 81309 090, 97118 53908 Email: info@iesmasterpublications.com,

More information

This image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc.

This image cannot currently be displayed. Course Catalog. Algebra II Glynlyon, Inc. This image cannot currently be displayed. Course Catalog Algebra II 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND

More information

PreCalculus. American Heritage Upper School Summer Math Packet

PreCalculus. American Heritage Upper School Summer Math Packet ! PreCalculus American Heritage Upper School Summer Math Packet All Upper School American Heritage math students are required to complete a summer math packet. This packet is intended for all students

More information

MCPS Algebra 2 and Precalculus Standards, Categories, and Indicators*

MCPS Algebra 2 and Precalculus Standards, Categories, and Indicators* Content Standard 1.0 (HS) Patterns, Algebra and Functions Students will algebraically represent, model, analyze, and solve mathematical and real-world problems involving functional patterns and relationships.

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 2 UNIT 3: LINEAR

More information

Trinity Christian School Curriculum Guide

Trinity Christian School Curriculum Guide Course Title: Calculus Grade Taught: Twelfth Grade Credits: 1 credit Trinity Christian School Curriculum Guide A. Course Goals: 1. To provide students with a familiarity with the properties of linear,

More information

THE PYTHAGOREAN THEOREM

THE PYTHAGOREAN THEOREM THE STORY SO FAR THE PYTHAGOREAN THEOREM USES OF THE PYTHAGOREAN THEOREM USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS USES OF THE PYTHAGOREAN THEOREM SOLVE RIGHT TRIANGLE APPLICATIONS

More information

PRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning.

PRE-CALCULUS FORM IV. Textbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. PRE-CALCULUS FORM IV Tetbook: Precalculus with Limits, A Graphing Approach. 4 th Edition, 2005, Larson, Hostetler & Edwards, Cengage Learning. Course Description: This course is designed to prepare students

More information

Curriculum Catalog

Curriculum Catalog 2017-2018 Curriculum Catalog 2017 Glynlyon, Inc. Table of Contents ALGEBRA II FUNDAMENTALS COURSE OVERVIEW... 1 UNIT 1: SET, STRUCTURE, AND FUNCTION... 1 UNIT 2: NUMBERS, SENTENCES, AND PROBLEMS... 1 UNIT

More information

INDIRA GANDHI INSTITUTE OF DEVELOPMENT RESEARCH. M.Phil-Ph.D ENTRANCE EXAM SAMPLE QUESTIONS BASIC MATHEMATICS

INDIRA GANDHI INSTITUTE OF DEVELOPMENT RESEARCH. M.Phil-Ph.D ENTRANCE EXAM SAMPLE QUESTIONS BASIC MATHEMATICS INDIRA GANDHI INSTITUTE OF DEVELOPMENT RESEARCH General A.K. Vaidya Marg, Santosh Nagar, Goregaon (East), Mumbai - 400 065 M.Phil-Ph.D ENTRANCE EXAM SAMPLE QUESTIONS BASIC MATHEMATICS This document consists

More information

Analysis. The student was expected to know and use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2

Analysis. The student was expected to know and use the Pythagorean theorem to find the missing side. a 2 + b 2 = c 2 Analysis. Correct Answer : meters (m) The student was epected to know and use the Pythagorean theorem to find the missing side. a + b c 8 + 7 64 + 89 89 64 SKILL: Use the Pythagorean theorem to find the

More information

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Algebra II (Grades 9-12)

Prentice Hall: Algebra 2 with Trigonometry 2006 Correlated to: California Mathematics Content Standards for Algebra II (Grades 9-12) California Mathematics Content Standards for Algebra II (Grades 9-12) This discipline complements and expands the mathematical content and concepts of algebra I and geometry. Students who master algebra

More information

Math 180, Exam 2, Spring 2013 Problem 1 Solution

Math 180, Exam 2, Spring 2013 Problem 1 Solution Math 80, Eam, Spring 0 Problem Solution. Find the derivative of each function below. You do not need to simplify your answers. (a) tan ( + cos ) (b) / (logarithmic differentiation may be useful) (c) +

More information

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions

Algebra 2. Chapter 4 Exponential and Logarithmic Functions. Chapter 1 Foundations for Functions. Chapter 3 Polynomial Functions Algebra 2 Chapter 1 Foundations for Chapter 2 Quadratic Chapter 3 Polynomial Chapter 4 Exponential and Logarithmic Chapter 5 Rational and Radical Chapter 6 Properties and Attributes of Chapter 7 Probability

More information

JEE (Main) The analysis below pertains to only Paper 1, which was for engineering aspirants.

JEE (Main) The analysis below pertains to only Paper 1, which was for engineering aspirants. JEE (Main) 2018 JEE (Main)-2018 A Detailed by Resonance On 8-April-2018, JEE (Main) 2018 was conducted for students opting to take this exam by offline mode. This is the sixth edition of this Exam after

More information

AP CALCULUS AB. Summer Assignment. Page 1

AP CALCULUS AB. Summer Assignment. Page 1 AP CALCULUS AB Summer Assignment Page 1 Welcome to AP Calculus AB. This will be the toughest class yet in your mathematical careers but the benefit you will receive by having this experience in high school

More information

Instructional Units Plan Algebra II

Instructional Units Plan Algebra II Instructional Units Plan Algebra II This set of plans presents the topics and selected for ACT s rigorous Algebra II course. The topics and standards are arranged in ten units by suggested instructional

More information

correlated to the Virginia Standards of Learning Algebra II with Trigonometry

correlated to the Virginia Standards of Learning Algebra II with Trigonometry correlated to the Virginia Standards of Learning Algebra II with Trigonometry AII/T.1 The student will identify field properties, axioms of equality and inequality, and properties of order that are valid

More information

MATHEMATICS EXTENSION 2

MATHEMATICS EXTENSION 2 Sydney Grammar School Mathematics Department Trial Eaminations 008 FORM VI MATHEMATICS EXTENSION Eamination date Tuesday 5th August 008 Time allowed hours (plus 5 minutes reading time) Instructions All

More information

Instructors Manual Algebra and Trigonometry, 2e Cynthia Y. Young

Instructors Manual Algebra and Trigonometry, 2e Cynthia Y. Young Dear Instructor, Instructors Manual Algebra and Trigonometry, 2e Cynthia Y. Young I hope that when you read my Algebra and Trigonometry book it will be seamless with how you teach. My goal when writing

More information

Check boxes of Edited Copy of Sp Topics (was 217-pilot)

Check boxes of Edited Copy of Sp Topics (was 217-pilot) Check boxes of Edited Copy of 10024 Sp 11 213 Topics (was 217-pilot) College Algebra, 9th Ed. [open all close all] R-Basic Algebra Operations Section R.1 Integers and rational numbers Rational and irrational

More information

Course Outcome Summary

Course Outcome Summary Course Information: Algebra 2 Description: Instruction Level: 10-12 Total Credits: 2.0 Prerequisites: Textbooks: Course Topics for this course include a review of Algebra 1 topics, solving equations, solving

More information

SESSION CLASS-XI SUBJECT : MATHEMATICS FIRST TERM

SESSION CLASS-XI SUBJECT : MATHEMATICS FIRST TERM TERMWISE SYLLABUS SESSION-2018-19 CLASS-XI SUBJECT : MATHEMATICS MONTH July, 2018 to September 2018 CONTENTS FIRST TERM Unit-1: Sets and Functions 1. Sets Sets and their representations. Empty set. Finite

More information

Complete Solutions Manual. Technical Calculus with Analytic Geometry FIFTH EDITION. Peter Kuhfittig Milwaukee School of Engineering.

Complete Solutions Manual. Technical Calculus with Analytic Geometry FIFTH EDITION. Peter Kuhfittig Milwaukee School of Engineering. Complete Solutions Manual Technical Calculus with Analtic Geometr FIFTH EDITION Peter Kuhfittig Milwaukee School of Engineering Australia Brazil Meico Singapore United Kingdom United States 213 Cengage

More information

Memory Based Questions & Solutions

Memory Based Questions & Solutions PAPER- (B.E./B. TECH.) JEE (Main) 09 COMPUTER BASED TEST (CBT) Memory Based Questions & Solutions Date: 09 April, 09 (SHIFT-) TIME : (9.0 a.m. to.0 p.m) Duration: Hours Ma. Marks: 60 SUBJECT : MATHEMATICS

More information

Integrated Math III. IM3.1.2 Use a graph to find the solution set of a pair of linear inequalities in two variables.

Integrated Math III. IM3.1.2 Use a graph to find the solution set of a pair of linear inequalities in two variables. Standard 1: Algebra and Functions Students solve inequalities, quadratic equations, and systems of equations. They graph polynomial, rational, algebraic, and piece-wise defined functions. They graph and

More information

EL-W535B Calculator Teaching Activities For The Classroom

EL-W535B Calculator Teaching Activities For The Classroom EL-W535B Calculator Teaching Activities For The Classroom Jeremy Ross Copyright 008 by Sharp Electronics Corporation All rights reserved This publication may not be reproduced, stored in a retrieval system,

More information

Portable Assisted Study Sequence ALGEBRA IIB

Portable Assisted Study Sequence ALGEBRA IIB SCOPE This course is divided into two semesters of study (A & B) comprised of five units each. Each unit teaches concepts and strategies recommended for intermediate algebra students. The second half of

More information

Spiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade

Spiral Review Probability, Enter Your Grade Online Quiz - Probability Pascal's Triangle, Enter Your Grade Course Description This course includes an in-depth analysis of algebraic problem solving preparing for College Level Algebra. Topics include: Equations and Inequalities, Linear Relations and Functions,

More information

ESSENTIAL SAMPLE. Mathematical Methods 1&2CAS MICHAEL EVANS KAY LIPSON DOUG WALLACE

ESSENTIAL SAMPLE. Mathematical Methods 1&2CAS MICHAEL EVANS KAY LIPSON DOUG WALLACE ESSENTIAL Mathematical Methods 1&2CAS MICHAEL EVANS KAY LIPSON DOUG WALLACE TI-Nspire and Casio ClassPad material prepared in collaboration with Jan Honnens David Hibbard i CAMBRIDGE UNIVERSITY PRESS Cambridge,

More information

The Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan

The Research- Driven Solution to Raise the Quality of High School Core Courses. Algebra I I. Instructional Units Plan The Research- Driven Solution to Raise the Quality of High School Core Courses Algebra I I Instructional Units Plan Instructional Units Plan Algebra II This set of plans presents the topics and selected

More information

COURSE OUTLINE CHAFFEY COLLEGE

COURSE OUTLINE CHAFFEY COLLEGE COURSE OUTLINE CHAFFEY COLLEGE Discipline: Mathematics 1. COURSE IDENTIFICATION: MATH 425 2. COURSE TITLE: Intermediate Algebra 3. UNITS: 4 Lecture Hours: Normal: 72 Range: 64-76 4. GRADING: Letter Grade

More information

Higher School Certificate

Higher School Certificate Higher School Certificate Mathematics HSC Stle Questions (Section ) FREE SAMPLE J.P.Kinn-Lewis Higher School Certificate Mathematics HSC Stle Questions (Section ) J.P.Kinn-Lewis First published b John

More information

Perfect Mathematics - II

Perfect Mathematics - II Std. I Sci. Perfect Mathematics - II Edition: July 2014 Mr. Vinodkumar J. Pandey.Sc. (Mathematics) G. N. Khalsa College, Mumbai Dr. Sidheshwar S. ellale M.Sc.,.Ed., PhD. (Maths) Department of Mathematics,

More information

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3

2. Find the value of y for which the line through A and B has the given slope m: A(-2, 3), B(4, y), 2 3 . Find an equation for the line that contains the points (, -) and (6, 9).. Find the value of y for which the line through A and B has the given slope m: A(-, ), B(4, y), m.. Find an equation for the line

More information

Unit 10 Prerequisites for Next Year (Calculus)

Unit 10 Prerequisites for Next Year (Calculus) Unit 0 Prerequisites for Net Year (Calculus) The following Study Guide is the required INDEPENDENT review for you to work through for your final unit. You WILL have a test that covers this material after

More information

Massey Hill Classical High School

Massey Hill Classical High School Massey Hill Classical High School AB Calculus AP Prerequisite Packet To: From: AP Calculus AB Students and Parents Carolyn Davis, AP Calculus Instructor The AP Course: AP Calculus AB is a college level

More information

Honors Algebra II / Trigonometry

Honors Algebra II / Trigonometry Honors Algebra II / Trigonometry 2013-2014 Instructor: Busselmaier Room: 158 Academic Support Location: Room 158 or Office 152 E-mail: cbusselmaier@regisjesuit.com (email is the best way to get in touch

More information

MATHEMATICS AND STATISTICS

MATHEMATICS AND STATISTICS 011-AS-M & S 44 INTRODUCTION MATHEMATICS AND STATISTICS ADVANCED SUPPLEMENTARY LEVEL This syllabus has been designed mainly for candidates who wish to further their study of mathematics beyond the Certificate

More information

Cambridge IGCSE and O Level Additional Mathematics Coursebook

Cambridge IGCSE and O Level Additional Mathematics Coursebook Cambridge IGCSE and O Level Additional Mathematics Coursebook Second edition University Printing House, Cambridge CB2 8BS, United Kingdom One Liberty Plaza, 20th Floor, New York, NY 10006, USA 477 Williamstown

More information

Unit 11 - Solving Quadratic Functions PART ONE

Unit 11 - Solving Quadratic Functions PART ONE Unit 11 - Solving Quadratic Functions PART ONE PREREQUISITE SKILLS: students should be able to add, subtract and multiply polynomials students should be able to factor polynomials students should be able

More information

Name These exercises cover topics from Algebra I and Algebra II. Complete each question the best you can.

Name These exercises cover topics from Algebra I and Algebra II. Complete each question the best you can. Name These eercises cover topics from Algebra I and Algebra II. Complete each question the best you can. Multiple Choice: Place through the letter of the correct answer. You may only use your calculator

More information

CLEP EXAMINATION: Precalculus

CLEP EXAMINATION: Precalculus CLEP EXAMINATION: Precalculus DESCRIPTION OF THE EXAMINATION: The Precalculus examination assesses student mastery of skills and concepts required for success in a first-semester calculus course. A large

More information

ALGEBRA 2 X. Final Exam. Review Packet

ALGEBRA 2 X. Final Exam. Review Packet ALGEBRA X Final Exam Review Packet Multiple Choice Match: 1) x + y = r a) equation of a line ) x = 5y 4y+ b) equation of a hyperbola ) 4) x y + = 1 64 9 c) equation of a parabola x y = 1 4 49 d) equation

More information

JEE (Advanced) Total 145 marks questions were from class 11th syllabus and 215 marks questions were from class 12th syllabus.

JEE (Advanced) Total 145 marks questions were from class 11th syllabus and 215 marks questions were from class 12th syllabus. 2018 JEE (Advanced) A Detailed Analysis by Resonance After introducing major changes in IIT Admission Process in 2013, on 20-May-2018 (Sunday) JEE Advanced 2018, stage-2 for IIT Admission Process was conducted

More information

BRAIN TEASURES FUNCTION BY ABHIJIT KUMAR JHA EXERCISE I. log 5. (ii) f (x) = log 7. (iv) f (x) = 2 x. (x) f (x) = (xii) f (x) =

BRAIN TEASURES FUNCTION BY ABHIJIT KUMAR JHA EXERCISE I. log 5. (ii) f (x) = log 7. (iv) f (x) = 2 x. (x) f (x) = (xii) f (x) = EXERCISE I Q. Find the domains of definitions of the following functions : (Read the symbols [*] and {*} as greatest integers and fractional part functions respectively.) (i) f () = cos 6 (ii) f () = log

More information

YEAR 10 PROGRAM TERM 1 TERM 2 TERM 3 TERM 4

YEAR 10 PROGRAM TERM 1 TERM 2 TERM 3 TERM 4 YEAR 10 PROGRAM TERM 1 1. Revision of number operations 3 + T wk 2 2. Expansion 3 + T wk 4 3. Factorisation 7 + T wk 6 4. Algebraic Fractions 4 + T wk 7 5. Formulae 5 + T wk 9 6. Linear Equations 10 +T

More information

GAT-UGTP-2018 Page 1 of 5

GAT-UGTP-2018 Page 1 of 5 SECTION A: MATHEMATICS UNIT 1 SETS, RELATIONS AND FUNCTIONS: Sets and their representation, Union, Intersection and compliment of sets, and their algebraic properties, power set, Relation, Types of relation,

More information

FREE Download Study Package from website: &

FREE Download Study Package from website:  & SHORT REVISION (FUNCTIONS) THINGS TO REMEMBER :. GENERAL DEFINITION : If to every value (Considered as real unless otherwise stated) of a variable which belongs to some collection (Set) E there corresponds

More information

correlated to the Idaho Content Standards Algebra II

correlated to the Idaho Content Standards Algebra II correlated to the Idaho Content Standards Algebra II McDougal Littell Algebra and Trigonometry: Structure and Method, Book 2 2000 correlated to the Idaho Content Standards Algebra 2 STANDARD 1: NUMBER

More information

MORE CURVE SKETCHING

MORE CURVE SKETCHING Mathematics Revision Guides More Curve Sketching Page of 3 MK HOME TUITION Mathematics Revision Guides Level: AS / A Level MEI OCR MEI: C4 MORE CURVE SKETCHING Version : 5 Date: 05--007 Mathematics Revision

More information

NON-AP CALCULUS SUMMER PACKET

NON-AP CALCULUS SUMMER PACKET NON-AP CALCULUS SUMMER PACKET These problems are to be completed to the best of your ability by the first day of school. You will be given the opportunity to ask questions about problems you found difficult

More information

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III

The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION THREE-YEAR SEQUENCE FOR HIGH SCHOOL MATHEMATICS COURSE III Friday, June 0, 00 1:15 to 4:15 p.m., only Notice... Scientific calculators

More information

Math 102,104: Trigonome and Precalculus Spring

Math 102,104: Trigonome and Precalculus Spring Math 102,104: Trigonome try and Precalculus Spring 2018 2018 Instructor Dr. Ruzanna Baytaryan Office HSLH 341 PHONE 661-362-5916 Office Hours M-TH 1:30PM 2:30PM or by appointment Email Ruzanna.baytaryan@canyons.edu

More information

PreCalculus. Curriculum (447 topics additional topics)

PreCalculus. Curriculum (447 topics additional topics) PreCalculus This course covers the topics shown below. Students navigate learning paths based on their level of readiness. Institutional users may customize the scope and sequence to meet curricular needs.

More information

xvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7

xvi xxiii xxvi Construction of the Real Line 2 Is Every Real Number Rational? 3 Problems Algebra of the Real Numbers 7 About the Author v Preface to the Instructor xvi WileyPLUS xxii Acknowledgments xxiii Preface to the Student xxvi 1 The Real Numbers 1 1.1 The Real Line 2 Construction of the Real Line 2 Is Every Real

More information

COMPLEX ANALYSIS-I. DR. P.K. SRIVASTAVA Assistant Professor Department of Mathematics Galgotia s College of Engg. & Technology, Gr.

COMPLEX ANALYSIS-I. DR. P.K. SRIVASTAVA Assistant Professor Department of Mathematics Galgotia s College of Engg. & Technology, Gr. COMPLEX ANALYSIS-I DR. P.K. SRIVASTAVA Assistant Professor Department of Mathematics Galgotia s College of Engg. & Technology, Gr. Noida An ISO 9001:2008 Certified Company Vayu Education of India 2/25,

More information

D In, RS=10, sin R

D In, RS=10, sin R FEBRUARY 7, 08 Invitational Sickles The abbreviation NOTA means None of These Answers and should be chosen if choices A, B, C and D are not correct Solve for over the Real Numbers: ln( ) ln() The trigonometric

More information

National 5 Mathematics Assessment Practice Topic 6: Graphs of quadratic functions and solving quadratic functions

National 5 Mathematics Assessment Practice Topic 6: Graphs of quadratic functions and solving quadratic functions SCHOLAR Study Guide National 5 Mathematics Assessment Practice Topic 6: Graphs of quadratic functions and solving quadratic functions Authored by: Margaret Ferguson Heriot-Watt University Edinburgh EH14

More information

Accuplacer College Level Math Study Guide

Accuplacer College Level Math Study Guide Testing Center Student Success Center Accuplacer Study Guide The following sample questions are similar to the format and content of questions on the Accuplacer College Level Math test. Reviewing these

More information

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005

PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO. Prepared by Kristina L. Gazdik. March 2005 PRECALCULUS BISHOP KELLY HIGH SCHOOL BOISE, IDAHO Prepared by Kristina L. Gazdik March 2005 1 TABLE OF CONTENTS Course Description.3 Scope and Sequence 4 Content Outlines UNIT I: FUNCTIONS AND THEIR GRAPHS

More information

All work must be shown in this course for full credit. Unsupported answers may receive NO credit.

All work must be shown in this course for full credit. Unsupported answers may receive NO credit. AP Calculus.1 Worksheet Day 1 All work must be shown in this course for full credit. Unsupported answers may receive NO credit. 1. The only way to guarantee the eistence of a it is to algebraically prove

More information

Learning Objectives These show clearly the purpose and extent of coverage for each topic.

Learning Objectives These show clearly the purpose and extent of coverage for each topic. Preface This book is prepared for students embarking on the study of Additional Mathematics. Topical Approach Examinable topics for Upper Secondary Mathematics are discussed in detail so students can focus

More information

PETERS TOWNSHIP HIGH SCHOOL

PETERS TOWNSHIP HIGH SCHOOL PETERS TOWNSHIP HIGH SCHOOL COURSE SYLLABUS: ALG EBRA 2 HONORS Course Overview and Essential Skills This course is an in-depth study of the language, concepts, and techniques of Algebra that will prepare

More information

Your summer assignment consists of problems that cover the following concepts:

Your summer assignment consists of problems that cover the following concepts: Welcome to Accelerated PreCalculus! I look forward to getting to know you and working with you during the 06 07 school year. While you are enjoying your summer, please take time out to complete the attached

More information

Course Catalog. Pre-calculus Glynlyon, Inc.

Course Catalog. Pre-calculus Glynlyon, Inc. Course Catalog Pre-calculus 2016 Glynlyon, Inc. Table of Contents COURSE OVERVIEW... 1 UNIT 1: RELATIONS AND FUNCTIONS... 1 UNIT 2: FUNCTIONS... 1 UNIT 3: TRIGONOMETRIC FUNCTIONS... 2 UNIT 4: CIRCULAR

More information