PYQ Vault

Day 453: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Probability Distribution. Asked once: 18 Apr 2026 S1

    100
    If the probabilities of a student succeeding in the entrance tests for institutes A, B and C are 0.60.6, 0.50.5 and 0.40.4 respectively, while the probability of succeeding in both A and B is 0.30.3, in both B and C is 0.20.2, in both A and C is 0.20.2, and in all three is 0.10.1, then the probability that the student succeeds in exactly one of these tests is......

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  2. Question 2

    Sets, Relations and Functions. Asked once: 17 Apr 2026 S1

    68
    If f(x)=x+2x2−3x+1f(x) = \dfrac{x + 2}{x^2 - 3x + 1}, then the values of xx for which f(x)f(x) is not defined are

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  3. Question 3

    Straight Line. Asked once: 11 Apr 2026 S2

    56
    The line 2x+y=42x + y = 4 intersects X and Y axes at points A and B respectively. Let C(p,q)C(p, q) be the point such that the lines AC and BC are perpendicular. The distance of point C from the midpoint of segment AB is...

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  4. Question 4

    Trigonometric Functions. Asked once: 14 May 2026 S1

    67
    If sin⁡−1(1−x)−2sin⁡−1x=π2\sin^{-1}(1 - x) - 2\sin^{-1}x = \dfrac{\pi}{2}, then the value of xx is

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  5. Question 5

    Trigonometry - II. Asked once: 16 Apr 2026 S2

    53
    The value of cos⁡(60∘−A)⋅cos⁡A⋅cos⁡(60∘+A)\cos(60^\circ - A) \cdot \cos A \cdot \cos(60^\circ + A) is

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