Math Mock Test A (FREE)

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The area of the region in the first quadrant bounded by y axis and the curve y=sinx and y =cosx is

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The maximum value of P=6x+8y,when the conditions are

(A) 120 (B) 90 (C) 96 (D) 240

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The locus of the pole of a tangent to the ellipse with ecentricity e with respect to its auxiliary circle is another ellipse with ecentricity e₁  connected by the relation

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The point at which there is an attainment of optimal value of the objective function are

(A) A point of intersection of inequations with both the axes.
(B) the point of intersection of inequations with x-axis only
(C) the corner points of the feasible region
(D) None of these

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A problem in Mathematics given to 3 students A, B, C whose chance of solving problems are 1/2, 1/3, 1/4 respectively. Probability that the problem is solved is

(A) 1/4  (B) 1/24 (C) 23/24  (D) 3/4

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A sphere of constant radius 2k passes through the origin and meets the axes in A, B and C. The locus of the centroid of tetrahedron OABC (O is origin) is

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(A) Equal (B) Parallel  (C) Perpendicular (D) Inclined at an angle 45°

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The mathematical expectation of sum of points on n dice is –

(A)4n/3    (B) 7n/2 (C) 5n/4  (D) None of these

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