Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics
|
|
|
- Bernice Barker
- 6 years ago
- Views:
Transcription
1 L.K. Gupta (Mathematic Classes) MOBILE: , Solution Of Class 10 th CBSE SA-II Board (Set-1)Mathematics 1. (k 1) k = (k + 1) (k 1) k 1 k = k + 1 k + 1 k 1 = k. Ans. (B) 0 APB 90. Ans. (D) AB = 5 cm PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 1
2 L.K. Gupta (Mathematic Classes) MOBILE: , BC = 1 cm AC =? Pythagoras theorem = AC = AB + BC = = AC = 169 AC = 1 cm BC = x + 1 x AB = x + 5 x BP = BQ..(1) (Tangents drawn from an external point to a circle are equal) AP = AR..() CO = CR..() AC = 1 5 x + (1 x) = 1 5 x + (1 x) = 1 x + 17 = 1 x = 4 x = 14 = x = Radius = cm Ans. (C) 4. No of children = Outcomes = BBB GGG BBG BGB GBB BGG PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0,
3 L.K. Gupta (Mathematic Classes) MOBILE: , Probability = GBG GGB Total cases = 8 No. of favourablecases Total no. of cases = In ABC Ans. (A) AB tan0 o BC BC BC 150 m Ans.(B) 6. Total numbers= 15 No. divisible by 4 are 4, 8, 1 Outcomes = Ans. (C) 7. Distance of BD PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0,
4 L.K. Gupta (Mathematic Classes) MOBILE: , BD= (0 4) (0 ) = cm 8. Ans. (A) AB =? Pythagoras theorem AB = AO + BO = = AB = 00 AB = 10 cm Ans.(b) 9. As given equal roots D=0 b 4ac =0 a = 4, b = p, c = p 48 =0 p = 48 p 48 p= The numbers divisible by both and 5 are PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 4
5 L.K. Gupta (Mathematic Classes) MOBILE: , , d = =10 a 110 d 10 an=110 an = a + (n 1)d. 990 = (n 1) = (n 1) n n 10 n As tangents drawn from an external point to the circle are equal in length 1. So EA = EC..(1) EB = ED.() Adding (1) and () EA + EB =EC + ED AB = CD. Hence. Proved. PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 5
6 L.K. Gupta (Mathematic Classes) MOBILE: , AB = AC (Given) BD = BF (length of the tangent drawn from an external point to a circle are equal)..(1) AF = AE.() DC = CE.() Now, AB = AC AF + BF = AE + CE AE + BD = AE + DC (From equation (1), () & ()) BD DC 1. (1, 1) (, 1) (, 1) (4, 1) (5, 1) (6, 1) (1, ) (, ) (, ) (4, ) (5, ) (6, ) (1, ) (, ) (, ) (4, ) (5, ) (6, ) (1, 4) (, 4) (, 4) (4, 4) (5, 4) (6, 4) (1, 5) (, 5) (, 5) (4, 5) (5, 5) (6, 5) (1, 6) (, 6) (, 6) (4, 6) (5, 6) (6, 6) (i) p( No. of each dice is even)= favourable cases (,),(,4),(,6),(4,),(4,4)(4,6),(6,),(6,4),(6,6) (ii) P( sum appearing on both dice is 5)= Favourable (1,4),(,),(,),(4,1) 14. r 46 7 r 46 r r r 49 r 7 Vol. of hemisphere= r PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 6
7 L.K. Gupta (Mathematic Classes) MOBILE: , = = cm x x 1 16 x 15 x x 1 (16 x) (x +1) = 15x 16x + 16 x x = 15x x + 15x x=0 x = 16 x +15x + 16 = 15x x a5 + a9 = 0 (a + 4d) + (a + 8d) = 0 an a (n 1)d a + 1d = 0 a + 6d = 15 (1) a5 = a8. a + 4d = (a + 7d) a + 4d = a + 1d 4d 1d = a a. d = a. d = a.() Put d in the equation (1) a + a 6 15 a + 4a = 15 5a =15 a PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 7
8 L.K. Gupta (Mathematic Classes) MOBILE: , d = () 6 d = A.P. =, 5, 7, Step of construction (i) Draw a (ii) Then draw acute ABCwith the sides given such that AC = 5.5 cm, AB = 5 cm, BC=6.5cm BAX (iii) Make 5 arcs on line AX such that AA1=A1A=.=A4A5 (iv) Join BA5 (v) Draw B A parallel to BA5 (vi) Similarly drawn C B parallel to CB. Hence C'AB' is the required triangle PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 8
9 L.K. Gupta (Mathematic Classes) MOBILE: , In PAB o 000 tan60 y y 000 y 000m In A' B'P o 000 tan0 x y x y x y 000 x+000=9000 x 6000m From B to B time taken by aeroplane is 0 second S dis tance 6000 time As given PA = PB 00 m / sec (K 1 ) ( K) (K 1 K) ( 5) PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 9
10 L.K. Gupta (Mathematic Classes) MOBILE: , Squaring both sides (K 4) + ( K) = K K K 4K =10 K 1K + 10=0 K 6K + 5 =0 K 5K K+ 5=0 K(K 5) 1(K 5)=0 K= 1, Let the ratio be K:1 Let P divides AB in the ratio K : 1 K 7K P, K 1 K 1 But 7K 0 K 1 7K =. K = 7 Ratio : 7. Co-ordinates of pt. P 7 7 7,, PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 10
11 L.K. Gupta (Mathematic Classes) MOBILE: , Area of major sector OAYB = = 5 π (4) 6 = 460 cm Area of major sector OCZD = = 5 π = 1155 cm Area of shaded region 00 π (4) π (1) 60 = Area of major section OAYB -Area of major sector OCZD = = 465 cm PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 11
12 L.K. Gupta (Mathematic Classes) MOBILE: , a = 7 cm Let R = radius of the sphere R = a R = 7 R = 7 cm Volume of the wood left = Volume of cube Volume of sphere = a 4 πr = 4 7 (7) π 4 7 π 7 π = 7 π =16.cm. Speed = 4 km/hr = m 60 min = 100 = 00 m/min S D T 00 D D 10 D m/min 000 m Volume of the water flowing in a canal = Volume of water used for irrigation PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 1
13 L.K. Gupta (Mathematic Classes) MOBILE: , A A A A A A m 4. Area of trapezium = 1 (sum of parallel sides) Height (AD BC) AB (10 4) AB 49 = 14 AB 49 AB 14 AB 7 cm PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 1
14 L.K. Gupta (Mathematic Classes) MOBILE: , Area of quadrant = = = = cm 8 8 Area of shaded region 1 π (AB) 4 = Area of trapezium Area of quadrant = = = cm 5. x x 4 10 x x 5 x,5 (x )(x 5) (x 4)(x ) 10 (x )(x 5) x 5x x 10 x x 4x 1 10 (x )(x 5) x 5x x x 4x x 5x x 15 x 14x 10 x 8x 15 (x 14x + ) = 10(x 8x + 15) 6x 4x + 66 = 10x 80x x 6x 80x + 4x = 0 4x 8x + 84 = 0 x 19x + 4 = 0 Quadratic formula x= b b 4ac a PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 14
15 L.K. Gupta (Mathematic Classes) MOBILE: , x x x 19 (19) x, x 6, 6. Total no. of trees planted = [ ] = 1 [ 1 1 ] = 1[4 + ] [Sum of n terms of on A.P. = n [A + (n 1) D] = 1 6 = 1 7. Let BD be the flagstaff BC be the tower In ABC BC AC BC 10 tan PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 15
16 L.K. Gupta (Mathematic Classes) MOBILE: , BC = 10 m In ADC DC tan 60 0 AC DB = DC BC = = 10( 1) = 10(1.7 1) = 10(0.7) DC 10 DC 10 m = m 8. Total cards = 5 Cards removed = = 48 Cards removed red queens blocks Jacks (1) Probability of a king = No. of favourable cases Total no.of cases Outcomes = 4 = () Probability of a red colour card Outcomes = 4 = () Probability of a face card Outcomes = 8 = PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 16
17 L.K. Gupta (Mathematic Classes) MOBILE: , (4) Probability of a queen Outcomes = = A(, 5), B(, 7), C(1, 8) and D(6, ) Area = ACD 1 x 1 (y y ) x (y y 1 ) x (y 1 y ) 1 ( )(( 8 )) 1( 5) 6( 5( 8)) 1 ( )( 11) 1( ) 6(1) = Area of ABC 109 cm 1 ( )(( 7) ( 8)) ( )(( 8) 5) 1(5 ( 7)) 1 ( )(1) ( )( 1) 1(1) = (5) = 5 cm ar of quad. ABCD PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 17
18 L.K. Gupta (Mathematic Classes) MOBILE: , = area of ACD + area of ABC cm 0. Let the speed of the stream = x km/hr Upstream speed = (18 x) km/hr Downstream speed = (18 + x) km/hr Speed time Dis tance time Dis tance Speed Upstream time = 1 + Downstream time x 18 x x 18 x 1 18 x 18 x x 18 x 4 x = 4 x x + 48x 4 = 0 x x x x, x = 6 km/hr Speed of the stream = 6 km/hr PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 18
19 L.K. Gupta (Mathematic Classes) MOBILE: , To is the angle bisector of OT PQ PTQ OT bisects PQ PR = RQ = 8 cm Also TPO = 90 0 In PRO OP = OR + PR (10) = OR + 8 OR = 6 cm Let TP = x, TR = y In PRT PT = PR + TR x = 8 + y..(1) In PTO OT = TP + OP (6 + y) = x y + 1y = x x = y + 1y 64..() Solving (1) & () y + 1y 64 = 64 + y 1y = 18 PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 19
20 L.K. Gupta (Mathematic Classes) MOBILE: , y = 18 1 y x = 64 + y x = 64 + x = x x x 9 x TP 40 cm 40 cm. To Prove: OP AB Construction : Take any point Q, other than P on the tangent AB.Join OQ. Suppose OQ meets the circle at R. PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 0
21 L.K. Gupta (Mathematic Classes) MOBILE: , Proof : We know that among all line segments joining the point O to a point on AB, the shortest one is perpendicular to AB. So to prove OP OP is shorter than any other segment joining O to any point of AB OP = OR (Radii of the same circle) OQ = OR + RQ OQ > OR OQ > OP OR < OQ AB, it is sufficient to prove that Thus OP is shorter than any other segment joining O to any point of AB OP AB. Radius of spherical marbles = 0.7 cm Radius of cylinder =.5 cm Volume of one spherical marble = 4 7 π 10 4 πr Volume of 150 spherical marbles = Volume of water risen in the cylinder π π h h h h h 100 h 5.6 cm 4. r1 = 8 cm r = 0 cm PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0, 1
22 L.K. Gupta (Mathematic Classes) MOBILE: , h = 4 cm Volume of frustum = = 1 πh r 1 r r 1 r = = litres = cm 1 litre of milk costs Rs litres = Rs 9.47 PIONEER EDUCATION (THE BEST WAY TO SUCCESS): S.C.O. 0,
CBSE Board Class X Summative Assessment II Mathematics
CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 2014 Set 2 Time: 3 hrs Max. Marks: 90 Note: Please check that this question paper contains 15 printed pages. Code number given
Page 4
Series HRS Code-30/2 Summative Assessment II Subject Mathematics class 10 CBSE Board 2014 SECTION-C 15. The angle of elevation of an areoplane from a point on the ground is 60 0. After a flight of 30 sec
1 / 24
CBSE-XII-017 EXAMINATION CBSE-X-01 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instuctions : 1. All questions are compulsory.. The question paper consists of 34 questions
CBSE CLASS X MATH -SOLUTION Therefore, 0.6, 0.25 and 0.3 are greater than or equal to 0 and less than or equal to 1.
CBSE CLASS X MATH -SOLUTION 011 Q1 The probability of an event is always greater than or equal to zero and less than or equal to one. Here, 3 5 = 0.6 5% = 5 100 = 0.5 Therefore, 0.6, 0.5 and 0.3 are greater
CBSE X Mathematics 2012 Solution (SET 1) Section B
CBSE X Mathematics 01 Solution (SET 1) Section B Q11. Find the value(s) of k so that the quadratic equation x kx + k = 0 has equal roots. Given equation is x kx k 0 For the given equation to have equal
Class X Delhi Math Set-3 Section A
Class X Delhi Math Set-3 Section A 1. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30. The distance of the car from the base of the tower (in m.) is:
Suppose E is the centre of the line joining the feet of the two towers i.e. BD.
CLASS X : MATH SOLUTIONS Q1. It is given that x = - 1 is the solution of the quadratic equation 3x +kx-3 = 0. 3 1 1 + k (- ) - 3 =0 3 4 - k - 3=0 k = 3 3 = 9 4 4 Hence, the value of k is 9 4 Q. Let AB
SAMPLE QUESTION PAPER Summative Assessment II Class-X ( ) Mathematics. Time Allowed: 3 Hours Max. Marks: 90
SAMPLE QUESTION PAPER Summative Assessment II Class-X (2016 17) Mathematics Time Allowed: 3 Hours Max. Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of31
[Class-X] MATHEMATICS SESSION:
![[Class-X] MATHEMATICS SESSION:](/thumbs/95/126082122.jpg "[Class-X] MATHEMATICS SESSION:")
[Class-X] MTHEMTICS SESSION:017-18 Time allowed: 3 hrs. Maximum Marks : 80 General Instructions : (i) ll questions are compulsory. (ii) This question paper consists of 30 questions divided into four sections,
It is known that the length of the tangents drawn from an external point to a circle is equal.
CBSE -MATHS-SET 1-2014 Q1. The first three terms of an AP are 3y-1, 3y+5 and 5y+1, respectively. We need to find the value of y. We know that if a, b and c are in AP, then: b a = c b 2b = a + c 2 (3y+5)
1 / 23
CBSE-XII-017 EXAMINATION CBSE-X-008 EXAMINATION MATHEMATICS Series: RLH/ Paper & Solution Code: 30//1 Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
CBSE MATHEMATICS (SET-2)_2019
CBSE 09 MATHEMATICS (SET-) (Solutions). OC AB (AB is tangent to the smaller circle) In OBC a b CB CB a b CB a b AB CB (Perpendicular from the centre bisects the chord) AB a b. In PQS PQ 4 (By Pythagoras
SAMPLE PAPER 3 (SA II) Mathematics CLASS : X. Time: 3hrs Max. Marks: 90
1 SAMPLE PAPER 3 (SA II) MRS.KIRAN WANGNOO Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction:- 1. All questions are Compulsory. 1. The question paper consists of 34 questions divided
Mathematics CLASS : X. Time: 3hrs Max. Marks: 90. 2) If a, 2 are three consecutive terms of an A.P., then the value of a.
1 SAMPLE PAPER 4 (SAII) MR AMIT. KV NANGALBHUR Mathematics CLASS : X Time: 3hrs Max. Marks: 90 General Instruction:- 1. All questions are Compulsory. The question paper consists of 34 questions divided
SURA's Guides for 3rd to 12th Std for all Subjects in TM & EM Available. MARCH Public Exam Question Paper with Answers MATHEMATICS
SURA's Guides for rd to 1th Std for all Subjects in TM & EM Available 10 th STD. MARCH - 017 Public Exam Question Paper with Answers MATHEMATICS [Time Allowed : ½ Hrs.] [Maximum Marks : 100] SECTION -
CBSE Board Class X Mathematics Board Paper 2015
CBSE Board Class X Mathematics Time: 3 hours Total Marks: 90 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 31 questions divided into four sections A, B, C
SAMPLE QUESTION PAPER 11 Class-X ( ) Mathematics
SAMPLE QUESTION PAPER 11 Class-X (2017 18) Mathematics GENERAL INSTRUCTIONS (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided into four sections A, B,C and D. (iii)
CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80
CBSE Class X Mathematics Board Paper 2019 All India Set 3 Time: 3 hours Total Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
CBSE CLASS-10 MARCH 2018
CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION & ANSWER Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four
Page 1 of 15. Website: Mobile:
Exercise 10.2 Question 1: From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5
Time : 3 to3 1 Hours : 2 Maximum Marks : 80 : 80 Total No. Of Pages : 4 : 4. Section A
TARGET MATHEMATICS by:- AGYAT GUPTA Page 1 of 5 Year of quality education Code No. General Instructions : 1. All question are compulsory.. The question paper consists of 4 questions divided into four sections
Udaan School Of Mathematics Class X Chapter 10 Circles Maths
Exercise 10.1 1. Fill in the blanks (i) The common point of tangent and the circle is called point of contact. (ii) A circle may have two parallel tangents. (iii) A tangent to a circle intersects it in
CBSE X Mathematics 2012 Solution (SET 1) Section D
Section D Q 9. A shopkeeper buys some books for Rs 80. If he had bought 4 more books for the same amount, each book would have cost Rs 1 less. Find the number of books he bought. Let the number of books
SAMPLE QUESTION PAPER 09 Class-X ( ) Mathematics
SAMPLE QUESTION PAPER 09 Class-X (2017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
1 / 23
CBSE-XII-07 EXAMINATION CBSE-X-009 EXAMINATION MATHEMATICS Series: HRL Paper & Solution Code: 0/ Time: Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question paper
CBSE CLASS X MATH
CBSE CLASS X MATH - 2011 Q.1) Which of the following cannot be the probability of an event? A. 1.5 B. 3 5 C. 25% D. 0.3 Q.2 The mid-point of segment AB is the point P (0, 4). If the Coordinates of B are
1 / 22
CBSE-XII-017 EXAMINATION MATHEMATICS Paper & Solution Time: 3 Hrs. Max. Marks: 90 General Instructions : (i) All questions are compulsory. (ii) The question paper consists of 31 questions divided into
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 08 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
10 th CBSE (SESSION : ) SUBJECT : MATHS SUMMATIVE ASSESSMENT-II SOLUTION _SET-1_CODE NO. 30/1
Pre-foundation areer are Programmes (PP) Division 0 th BSE (SESSION : 05-6) SUBJET : MTHS SUMMTIVE SSESSMENT-II SOLUTION _SET-_ODE NO. 0/. Given : B is diameter B 0 To find P construction : Join O sol
MODEL QUESTION PAPERS WITH ANSWERS SET 1
MTHEMTICS MODEL QUESTION PPERS WITH NSWERS SET 1 Finish Line & Beyond CLSS X Time llowed: 3 Hrs Max. Marks : 80 General Instructions: (1) ll questions are compulsory. (2) The question paper consists of
General Instructions:
CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 016 Time: 3 hrs General Instructions: Max. Marks:90 (i) All questions are compulsory. (ii) The question paper consists of 31
SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER 05 (2018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
BOARD QUESTION PAPER : MARCH 2016 GEOMETRY
BOARD QUESTION PAPER : MARCH 016 GEOMETRY Time : Hours Total Marks : 40 Note: (i) Solve All questions. Draw diagram wherever necessary. (ii) Use of calculator is not allowed. (iii) Diagram is essential
VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)
BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ
CBSE 10th Mathematics 2016 Solved Paper All India
Perfect solution to all problems Tips, Tricks, General Knowledge, Current Affairs, Latest Sample, Previous Year, Practice Papers with solutions. CBSE 10th Mathematics 2016 Solved Paper All India Download
Mathematics Class X Board Paper 2011
Mathematics Class X Board Paper Solution Section - A (4 Marks) Soln.. (a). Here, p(x) = x + x kx + For (x-) to be the factor of p(x) = x + x kx + P () = Thus, () + () k() + = 8 + 8 - k + = k = Thus p(x)
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 01 (2017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I (2 marks) SA II (3 marks) LA (4 marks) Total Unit
Blue print Chapters 1mark 2marks 3marks 4marks total
PRE-BOARD SAMPLE PAPER 2018-19 CLASS-X BLUEPRINT Blue print Chapters 1mark 2marks 3marks 4marks total real numbers 1 1 5 Polynomials 1 1 4 Linear equations 1 1 6 quadratic equation 1 1 6 A.P. 1 4 Triangles
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION MOCK TEST PAPER 10 FOR SA II (2016-17) SUBJECT: MATHEMATICS BLUE PRINT : SA-II CLASS X Unit/Topic Algebra Quadratic Equations & Arithmetic Progression Geometry
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32 SAMPLE PAPER TEST 10 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
= 9 4 = = = 8 2 = 4. Model Question paper-i SECTION-A 1.C 2.D 3.C 4. C 5. A 6.D 7.B 8.C 9.B B 12.B 13.B 14.D 15.
www.rktuitioncentre.blogspot.in Page 1 of 8 Model Question paper-i SECTION-A 1.C.D 3.C. C 5. A 6.D 7.B 8.C 9.B 10. 11.B 1.B 13.B 1.D 15.A SECTION-B 16. P a, b, c, Q g,, x, y, R {a, e, f, s} R\ P Q {a,
CBSE Sample Question Paper 1 ( )
CBSE Sample Question Paper (07-8 Time: Hours Maximum Marks: 80 General Instructions: (i All questions are compulsory. (ii The question paper consists of 0 questions divided into four sections A, B, C and
Maharashtra State Board Class X Mathematics - Geometry Board Paper 2016 Solution
Maharashtra State Board Class X Mathematics - Geometry Board Paper 016 Solution 1. i. ΔDEF ΔMNK (given) A( DEF) DE A( MNK) MN A( DEF) 5 5 A( MNK) 6 6...(Areas of similar triangles) ii. ΔABC is 0-60 -90
Question 1 ( 1.0 marks) places of decimals? Solution: Now, on dividing by 2, we obtain =
Question 1 ( 1.0 marks) The decimal expansion of the rational number places of decimals? will terminate after how many The given expression i.e., can be rewritten as Now, on dividing 0.043 by 2, we obtain
Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths
![Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths](/thumbs/86/93150791.jpg "Topic 2 [312 marks] The rectangle ABCD is inscribed in a circle. Sides [AD] and [AB] have lengths")
Topic 2 [312 marks] 1 The rectangle ABCD is inscribed in a circle Sides [AD] and [AB] have lengths [12 marks] 3 cm and (\9\) cm respectively E is a point on side [AB] such that AE is 3 cm Side [DE] is
UNIT-8 SIMILAR TRIANGLES Geometry is the right foundation of all painting, I have decided to teach its rudiments and principles to all youngsters eager for art. 1. ABC is a right-angled triangle, right-angled
Class X Mathematics Sample Question Paper Time allowed: 3 Hours Max. Marks: 80. Section-A
Class X Mathematics Sample Question Paper 08-9 Time allowed: Hours Max. Marks: 80 General Instructions:. All the questions are compulsory.. The questions paper consists of 0 questions divided into sections
Geometry 3 SIMILARITY & CONGRUENCY Congruency: When two figures have same shape and size, then they are said to be congruent figure. The phenomena between these two figures is said to be congruency. CONDITIONS
= ( +1) BP AC = AP + (1+ )BP Proved UNIT-9 CIRCLES 1. Prove that the parallelogram circumscribing a circle is rhombus. Ans Given : ABCD is a parallelogram circumscribing a circle. To prove : - ABCD is
CBSE Class X Mathematics Sample Paper 04
CBSE Class X Mathematics Sample Paper 04 Time Allowed: 3 Hours Max Marks: 80 General Instructions: i All questions are compulsory ii The question paper consists of 30 questions divided into four sections
PRE BOARD EXAMINATION CODE : E SESSION CLASS : X MAXIMUM MARKS: 80 SECTION A
PRE BOARD EXAMINATION CODE : E SESSION 017-018 CLASS : X MAXIMUM MARKS: 80 SUBJECT : MATHEMATICS TIME : HOURS General Instructions: (i) All questions are compulsory. (ii) The question paper consists of
SAMPLE QUESTION PAPER Class-X ( ) Mathematics. Time allowed: 3 Hours Max. Marks: 80
SAMPLE QUESTION PAPER Class-X (017 18) Mathematics Time allowed: 3 Hours Max. Marks: 80 General Instructions: (i) All questions are compulsory. (ii) The question paper consists of 30 questions divided
1 / 23
CBSE-XII-07 EXAMINATION CBSE-X-00 EXAMINATION MATHEMATICS Series: LRH/ Paper & Solution Code: 30// Time: 3 Hrs. Max. Marks: 80 General Instuctions : (i) All questions are compulsory. (ii) The question
2. In an AP. if the common difference (d) = -4, and the seventh term (a7) is 4, then find the first term.
CBSE Board Class X Set 3 Mathematics Board Question Paper 2018 Time: 3 hrs. Marks: 80 Note: Please check that this question paper contains 11 printed pages. Code number given on the right hand side of
9 th CBSE Mega Test - II
9 th CBSE Mega Test - II Time: 3 hours Max. Marks: 90 General Instructions All questions are compulsory. The question paper consists of 34 questions divided into four sections A, B, C and D. Section A
LLT Education Services
8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the
8. Quadrilaterals. If AC = 21 cm, BC = 29 cm and AB = 30 cm, find the perimeter of the quadrilateral ARPQ.
8. Quadrilaterals Q 1 Name a quadrilateral whose each pair of opposite sides is equal. Mark (1) Q 2 What is the sum of two consecutive angles in a parallelogram? Mark (1) Q 3 The angles of quadrilateral
chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?
chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "
81-E 2. Ans. : 2. Universal set U = { 2, 3, 5, 6, 10 }, subset A = { 5, 6 }. The diagram which represents A / is. Ans. : ( SPACE FOR ROUGH WORK )
81-E 2 General Instructions : i) The question-cum-answer booklet contains two Parts, Part A & Part B. ii) iii) iv) Part A consists of 60 questions and Part B consists of 16 questions. Space has been provided
CBSE X Mathematics 2016
Time: 3 hours; Total Marks: 90 General Instructions: 1. All questions are compulsory. 2. The question paper consists of 31 questions divided into four sections A, B, C and D. 3. Section A contains 4 questions
Core Mathematics 2 Coordinate Geometry
Core Mathematics 2 Coordinate Geometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Coordinate Geometry 1 Coordinate geometry in the (x, y) plane Coordinate geometry of the circle
10. Circles. Q 5 O is the centre of a circle of radius 5 cm. OP AB and OQ CD, AB CD, AB = 6 cm and CD = 8 cm. Determine PQ. Marks (2) Marks (2)
10. Circles Q 1 True or False: It is possible to draw two circles passing through three given non-collinear points. Mark (1) Q 2 State the following statement as true or false. Give reasons also.the perpendicular
Maharashtra State Board Class X Mathematics Geometry Board Paper 2015 Solution. Time: 2 hours Total Marks: 40
Maharashtra State Board Class X Mathematics Geometry Board Paper 05 Solution Time: hours Total Marks: 40 Note:- () Solve all questions. Draw diagrams wherever necessary. ()Use of calculator is not allowed.
Higher Order Thinking Skill questions
Higher Order Thinking Skill questions TOPIC- Constructions (Class- X) 1. Draw a triangle ABC with sides BC = 6.3cm, AB = 5.2cm and ÐABC = 60. Then construct a triangle whose sides are times the corresponding
CBSE CLASS-10 MARCH 2018
CBSE CLASS-10 MARCH 2018 MATHEMATICS Time : 2.30 hrs QUESTION Marks : 80 General Instructions : i. All questions are compulsory ii. This question paper consists of 30 questions divided into four sections
CBSE Board Class X Mathematics
CBSE Board Class X Mathematics Time: 3 hrs Total Marks: 80 General Instructions: 1. All questions are compulsory.. The question paper consists of 30 questions divided into four sections A, B, C, and D.
Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80
Kendriya Vidyalaya Sangathan Class -X Subject- Mathematics Time - M.M - 80 General Instruction :-. All Questions are compulsory, however internal choices are given in some questions.. This question paper
Solutions to RSPL/1. Mathematics 10
Solutions to RSPL/. It is given that 3 is a zero of f(x) x 3x + p. \ (x 3) is a factor of f(x). So, (3) 3(3) + p 0 8 9 + p 0 p 9 Thus, the polynomial is x 3x 9. Now, x 3x 9 x 6x + 3x 9 x(x 3) + 3(x 3)
Similarity of Triangle
Similarity of Triangle 95 17 Similarity of Triangle 17.1 INTRODUCTION Looking around you will see many objects which are of the same shape but of same or different sizes. For examples, leaves of a tree
TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X
TOPPER SAMPLE PAPER 3 Summative Assessment-II MATHEMATICS CLASS X M.M: 80 TIME : 3-3 2 Hrs. GENERAL INSTRUCTIONS :. All questions are compulsory. 2. The question paper consists of 34 questions divided
angle between them should be.
SECTION - A Question numbers 1 to 10 carry 1 mark each. For each question four choices are provided of which only one is correct. You have to select the correct choice. 1. For what value of k will be a
Marking Scheme. Mathematics Class X ( ) Section A
Marking Scheme Mathematics Class X (017-18) Section A S.No. Answer Marks 1. Non terminating repeating decimal expansion.. k ±4 3. a 11 5 4. (0, 5) 5. 9 : 49 6. 5 Section B 7. LCM (p, q) a 3 b 3 HCF (p,
Page 1
Series HRS Code-30/3 Summative Assessment II Solution Mathematics class 10 CBSE Board 2014 SECTION A All questions are similar in 30/1 set SECTION B All questions are similar in 30/2 set except Q.No. 14
SAMPLE QUESTION PAPER CLASS-X ( ) MATHEMATICS
SAMPLE QUESTION PAPER CLASS-X (07 8) MATHEMATICS Time allowed: Hours Max. Marks:80 General Instructions: (i) All questions are comulsory. (ii) The question aer consists of 0 questions divided into four
COMMON UNITS OF PERIMITER ARE METRE
MENSURATION BASIC CONCEPTS: 1.1 PERIMETERS AND AREAS OF PLANE FIGURES: PERIMETER AND AREA The perimeter of a plane figure is the total length of its boundary. The area of a plane figure is the amount of
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32 SAMPLE PAPER TEST 09 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS General Instruction: (i) All questions
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION SAMPLE PAPER 07 (017-18) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit Total
KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018
CCE RR REVISED & UN-REVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.
Full Question Paper Maths, X Class
Full Question Paper Maths, X Class Time: 3 Hrs MM: 80 Instructions: 1. All questions are compulsory. 2. The questions paper consists of 34 questions divided into four sections A,B,C and D. Section A comprises
cbse.jagranjosh.com CBSE Class 10 th Mathematics Solved Guess Paper
Solved Guess Paper 6 Mathematics Class X SA II SET I Time Allowed: hours Maximum Marks: 9 General Instructions:. All questions are compulsory..the question paper consists of questions divided into four
KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE G È.G È.G È.. Æ fioê, d È 2018 S. S. L. C. EXAMINATION, JUNE, 2018
CCE PR REVISED & UN-REVISED O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE 560 00 G È.G È.G È.. Æ fioê, d È 08 S. S. L.
Class IX : Math Chapter 11: Geometric Constructions Top Concepts 1. To construct an angle equal to a given angle. Given : Any POQ and a point A.
1 Class IX : Math Chapter 11: Geometric Constructions Top Concepts 1. To construct an angle equal to a given angle. Given : Any POQ and a point A. Required : To construct an angle at A equal to POQ. 1.
Total number of printed pages : MATHEMATICS
Total number of printed pages : 6 Total marks : 80 016 MATHEMATICS NB-T/M Time : 3 hours General Instructions: i) Approximately 15 minutes is allotted to read the question paper and revise the answers.
1. SETS AND FUNCTIONS
. SETS AND FUNCTIONS. For two sets A and B, A, B A if and only if B A A B A! B A + B z. If A B, then A + B is B A\ B A B\ A. For any two sets Pand Q, P + Q is " x : x! P or x! Q, " x : x! P and x b Q,
Math 9 Chapter 8 Practice Test
Name: Class: Date: ID: A Math 9 Chapter 8 Practice Test Short Answer 1. O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to the
MT - MATHEMATICS (71) GEOMETRY - PRELIM II - PAPER - 6 (E)
04 00 Seat No. MT - MTHEMTIS (7) GEOMETRY - PRELIM II - (E) Time : Hours (Pages 3) Max. Marks : 40 Note : ll questions are compulsory. Use of calculator is not allowed. Q.. Solve NY FIVE of the following
Sample Question Paper Mathematics First Term (SA - I) Class IX. Time: 3 to 3 ½ hours
Sample Question Paper Mathematics First Term (SA - I) Class IX Time: 3 to 3 ½ hours M.M.:90 General Instructions (i) All questions are compulsory. (ii) The question paper consists of 34 questions divided
0113ge. Geometry Regents Exam In the diagram below, under which transformation is A B C the image of ABC?
0113ge 1 If MNP VWX and PM is the shortest side of MNP, what is the shortest side of VWX? 1) XV ) WX 3) VW 4) NP 4 In the diagram below, under which transformation is A B C the image of ABC? In circle
(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 32
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD 3 SAMPLE PAPER 06 (018-19) SUBJECT: MATHEMATICS(041) BLUE PRINT : CLASS X Unit Chapter VSA (1 mark) SA I ( marks) SA II (3 marks) LA (4 marks) Total Unit
DESIGN OF THE QUESTION PAPER Mathematics Class X NCERT. Time : 3 Hours Maximum Marks : 80
DESIGN OF THE QUESTION PAPER Mathematics Class X Weightage and the distribution of marks over different dimensions of the question shall be as follows: (A) Weightage to Content/ Subject Units : S.No. Content
CLASS X FORMULAE MATHS
Real numbers: Euclid s division lemma Given positive integers a and b, there exist whole numbers q and r satisfying a = bq + r, 0 r < b. Euclid s division algorithm: This is based on Euclid s division
Triangles. Example: In the given figure, S and T are points on PQ and PR respectively of PQR such that ST QR. Determine the length of PR.
Triangles Two geometric figures having the same shape and size are said to be congruent figures. Two geometric figures having the same shape, but not necessarily the same size, are called similar figures.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32. SECTION A Questions 1 to 6 carry 1 mark each.
KENDRIYA VIDYALAYA GACHIBOWLI, GPRA CAMPUS, HYD-32 SAMPLE PAPER TEST 05 (2018-19) (SAMPLE ANSWERS) SUBJECT: MATHEMATICS MAX. MARKS : 80 CLASS : X DURATION : 3 HRS SECTION A Questions 1 to 6 carry 1 mark
CBSE Sample Papers for Class 10 SA2 Maths Solved 2016 Set 3
CBSE Sample Papers for Class 10 SA Maths Solved 016 Set Answers: Section A 1.Determine the value of k for which the indicated value of x is a solution: x + kx- 4 = o; X = -4. x = - 4 is a solution x +
KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALORE S. S. L. C. EXAMINATION, MARCH/APRIL, » D} V fl MODEL ANSWERS
CCE RF CCE RR O %lo ÆË v ÃO y Æ fio» flms ÿ,» fl Ê«fiÀ M, ÊMV fl 560 00 KARNATAKA SECONDARY EDUCATION EXAMINATION BOARD, MALLESWARAM, BANGALE 560 00 G È.G È.G È.. Æ fioê,» ^È% / HØ È 08 S. S. L. C. EXAMINATION,
Maharashtra Board Class X Mathematics - Geometry Board Paper 2014 Solution. Time: 2 hours Total Marks: 40
Maharashtra Board Class X Mathematics - Geometry Board Paper 04 Solution Time: hours Total Marks: 40 Note: - () All questions are compulsory. () Use of calculator is not allowed.. i. Ratio of the areas
Pre-Regional Mathematical Olympiad Solution 2017
Pre-Regional Mathematical Olympiad Solution 07 Time:.5 hours. Maximum Marks: 50 [Each Question carries 5 marks]. How many positive integers less than 000 have the property that the sum of the digits of