Question Paper Set MHT CET

Transcription

1 Target s 0 Question Paper Set MHT CET Physics, Chemistry, Mathematics & Biology Salient Features Set of 0 question papers with solutions each for Physics, Chemistry, Mathematics and Biology. Prepared as per the latest paper pattern of MHT-CET. Exhaustive coverage of MCQs from all chapters. Hints provided wherever necessary. Simple and Lucid language. Self-evaluative in nature. Printed at: Repro Knowledgecast Ltd., Mumbai Target Publications Pvt. Ltd. No part of this book may be reproduced or transmitted in any form or by any means, C.D. ROM/Audio Video Cassettes or electronic, mechanical including photocopying; recording or by any information storage and retrieval system without permission in writing from the Publisher. P.O. No. 7 _JUP

2 Sr. No. Test Name Index Page No. Test Answer Key Hints Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Test Note: Questions of standard XI are indicated by * in each test.

3 Model Test 0 (Paper - I) MODEL TEST 0 (Paper - I). The conditional (p q) p is a tautology a contradiction neither tautology nor contradiction None of these.. The angle between the lines whose direction cosines are,, and,, is. A man make attempts to hit the target. The probability of hitting the target is. Then the 5 probability that he hit the target exactly times in 5 attempts, is Integrating factor of the equation (x + ) d y dx + xy = x is x x + x x x x x 5. Find the separate equations of lines for a pair of lines whose equation is x + xy y = 0 x y = 0 and x + y = 0 x + y = 0 and x y = 0 x y = 0 and x + y = 0 x + y = 0 and x y = 0 6. In a ABC, a sin C + c sin A = (where is the area of triangle ABC) *7. In a class of students, play football, play basketball and 50 students donot play any of these games. How many play football and basketball? *. The sum of first n even natural numbers is n n (n + ) n (n + ) n(n ) 9. If a line in the space makes angles, and with the co-ordinate axes, then cos + cos + cos + sin + sin + sin = 0. If f(x) = x x5, x 5 and f is x 7x continuous at x = 5, then f(5) = Approximate value of tan (0.999) is If A = 5, then A = If sin x = 5, for some x [, ], then the value of cos x is 7 5 9

4 MHT-CET : 0 Question Paper Set *. From a book containing 0 pages, one page is selected at random. The probability that the sum of the digits of the page number of the selected page is is tan xdx log log log log 6. The area of the region bounded by y = x +, y = x + and x = is sq. units sq. units 6 sq. units sq. units 7. x x x d y If y = x + +., then!!! dx = x y x y. x x dx sin x x x c sin x x x c cos x x x c cos x x x c *9. The sum of the series n terms is n ( 9n ) 7 n ( 9n ) 7 n ( n 9) If for the matrix A, A I, then A A A A does not exist. From the graph given below minimum value of z = x + 5y ocuurs at (x, y) = X 6 O Y Y D C O B A 6 (0,) (,5) (,) (,0). x, x If f(x) = k, x, is continuous at x, x x =, then the value of k is 5. If x = a cos and y = a sin, then d y d = is a a x at *. The equation of circle whose diameter lies on x + 5y = 7 and x y = which passes through 5, is x + y x + y = 9 x + y x + y = 9 x + y + x y = 9 x + y + x y = 9 X

5 Model Test 0 (Paper - I) *5. Equation of line passing through the point (, ) and perpendicular to the line y = 5x is 5x y = 0 5x + y = 0 x 5y = 0 x + 5y = 0 6. The function f(x) = tan x x Always increases Always decreases Never decreases Sometimes increases and sometimes decreases 7. If y = x x x...to, then d y dx = x y y. [sin(log x) cos(log x)] dx = x cos(log x) + c sin(log x) + c cos(log x) + c x sin(log x) + c *9. cos π 5 cos π 5 cos π 5 cos π 5 = dx tanx y y The general solution of tan 5 = cot is = n, nz 7 = n, nz 7 5 = n, nz 7 = n, nz 7. The angle between the lines represented by the equation ax + xy + by = 0 will be 5, if a =, b = 6 a = 6, b = a = 6, b = a =, b = *. sin cos 600 is negative positive zero zero or positive. If the line r = î + (î mĵ ˆk) is parallel to the plane r.(mî + ĵ + ˆk) = 0, then m is equal to 5. cos sin d= The point of intersection of the lines x 5xy + y + x 9y + 6 = 0 is (, ) (, 5) (, ) (, 5) 7. The value of (a b c) x x dx depends on the value of a value of b value of c values of a and b. The particular solution of e x tan ydx + ( + e x )sec ydy = 0, when x = 0, y = is ( + e x )tany = 0 ( + e x ) tany = 0 ( + e x ) tany = 0 ( + e x )tan y = 0

6 MHT-CET : 0 Question Paper Set 9. A random variable x has the following probability distribution X P(X) 0 p p p p p p 7p + p Then the value of p is cos A cos B cosc 0. If in ABC,, then the a b c triangle is equilateral isosceles right angled obtuse angled *. The foci of 6x + 0y = 600 are (, 0) ( 6, 0) (0, ) (0, 6). The value of k for which the function x ke, x 0 f(x) = 0, otherwise is a p.d.f. is. The equation of a line passing through the point (,, ) and equally inclined to the axes, are x = y + = z x + = y = z + x y = = z x y = = z. a.[(b+c) (a+b+c)] is equal to [a b c ] [a b c ] [a b c ] 0 5. The direction cosines of a normal to the plane r. i ˆj ˆ 6kˆ = are (,, 6) 6,, (,, 6) 6,, Which of the following statement is correct? Every L.P.P. has no optimal solution A L.P.P. has a unique solution A L.P.P. has two optimal solution If a L.P.P. has two optimal solution then it has an infinite number of optimal solution 7. The order of the differential equation whose solution is x + y + gx + fy + c = 0, is *. The value of sin π 6 6 π 5π 7π sin sin sin is 6 9. The radius of a soap bubble increases at the rate of 0. cm/sec. The rate at which its volume is increasing, when its radius is 5 cm, is 5 cc/sec cc/sec 0 cc/sec cc/sec 50. If a + b = c, then A divides BC in the ratio : externally : internally : externally : internally