Model Question Paper CET Physics - WIT Solapur

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149. If a, b, c are constants such that a and c are of opposite signs and r is the correlationcoefficient between x and y, then the correlation coefficient between ax + b and cy + d isA. (a/c)r B. r C. - r D. (c/a)r150. From a deck of 52 cards, the probability of drawing a court card isA. 3/13 B. 1/4 C. 4/13 D. 1/13151. A binomial probability distribution is symmetrical if p, the probability of success in a singletrial, isA. > 1/2 B. < 1/2 C. < q, where q = 1 - p D. = 1/2152. The binomial distribution whose mean is 10 and S.D. is 2√2 isA. (4/5 + 1/5) 50 B. (4/5 + 1/5) 1/50 C. (4/5 + 5/1) 50 D. none of the above153. tan (cot -1 x) is equal toA. π/4 - x B. cot (tan -1 x) C. tan x D. none of the above154. If f(x) is an odd periodic function withperiod 2, then f(4) equalsA. - 4 B. 4 C. 2 D. 0155. The function f(x) = [(x 3 + x 2 - 16x + 20)]/(x - 2) is not defined for x = 2. In order to makef(x) continuous at x = 2, f(2) should be defined asA. 0 B. 1 C. 2 D. 3156. Let f and g be differentiable functions satisfying g'(a) = 2, g(a) = b, and fog = 1 (identityfunction). Then f'(b) is equal toA. 0 B. 2/3 C. 1/2 D. none of the above157. A cone of maximum volume is inscribed in a given sphere. Then the ratio of the height ofthe cone to the diameter of the sphere isA. 3/4 B. 1/3 C. 1/4 D. 2/3158. The function is decreasing in the intervalA. - ∞ < x < -10/3 B. 0 < x < ∞ C. -3 < x < 3 D. -10/3 < x < 0159. Suppose that f''(x) iscontinuous for all x and tf'(t) dt = 0,f(0) = f'(1). Ifthen the value of f(1) isA. 3 B. 2 C. 9/2D. none ofthe above160. Integrating factor of differential equation cos x (dy/dx) + y sin x = 1 isA. sin x B. sec x C. tan x D. cos x
161. Ifdx/(1 + 4x 2 ) =π/8,then the value of a isA. π/2 B. 1/2 C. π/4 D. 1162. The maximum value of (log x)/x isA. 2/e B. 1/e C. 1 D. e163. If one root of the equation x 2 + px + 12 = 0is 4, while the equation x 2 + px + q = 0 hasequal roots, then the value of q isD. none ofA. 49/4 B. 4/49 C. 4the above164. The sum of the series 1/2 + 1/3 + 1/6 + ....... to 9 terms isA. -5/6 B. -1/2 C. 1 D. -3/2165. The sum of all two digit numbers, which are odd isA. 2475 B. 2530 C. 4905 D. 5049166. How many ten digit numbers can be formed by using the digits 3 and 7 only?A. 10 C 1 + 9 C 2 B. 2 10 C. 10 C 2 D. 10!167. If x and y are real and different and u = x 2 + 4y 2 + 9z 2 - 6xyz - 3zx - 2xy, then u is alwaysA. non-negative B. zero C. non-positive D. none of the above168. If a be a non-zero vector, then which of the following is correct?A. a . a = 0 B. a . a > 0 C. a . a ≥ 0 D. a . a ≤ 0169. If two vectors a and b are parallel and haveequal magnitudes, thenA. they are equal B. they are not equalC. they may or may notbe equalD. they do not have thesame direction170. In a triangle, the lengths of the two larger sides are 10 and 9 respectively. If the angles arein A.P., then the length of the third side can beA. 5 ± √6 B. 3√3 C. 5 D. none of the above171. The three lines 3x + 4y + 6 = 0, √2x + √3y + 2√2 = 0, and 4x + 7y + 8 = 0 areA. sides of a triangle B. concurrent C. parallel D. none of the above172. The pole of the straight line 9x + y - 28 = 0 with respect to the circle 2x 2 + 2y 2 - 3x + 5y - 7= 0 isA. (3, 1) B. (1, 3) C. (3, -1) D. (-3, 1)
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Model Question Paper CET Physics - WIT Solapur

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