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Day 89: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 3 times: 22 Apr 2025 S2, 11 Apr 2026 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    99
    If the p. d. f. of a continuous random variable X is given by f(x)={k(9+8x−x2),for −1≤x≤40,otherwisef(x) = \begin{cases} k(9 + 8x - x^2), & \text{for } -1 \le x \le 4 \\ 0, & \text{otherwise} \end{cases} then the value of kk is …\ldots

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  2. Question 2

    Trigonometric Functions. This type asked 3 times: 11 May 2024 S1, 23 Apr 2025 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    68
    sec⁡2(tan⁡−13)−tan⁡2(sec⁡−13)=\sec^2(\tan^{-1}3) - \tan^2(\sec^{-1}3) =

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  3. Question 3

    Pair of Straight Lines. This type asked 3 times: 19 Apr 2025 S2, 11 Apr 2026 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 3 of this type

    55
    Two lines are given by x2−4xy+4y2+kx−2ky=0x^2 - 4xy + 4y^2 + kx - 2ky = 0, then the value of k so that the distance between them is 3 is

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  4. Question 4

    Permutations and Combinations. This type asked 3 times: 4 May 2023 S1, 26 Apr 2025 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 3 of this type

    52
    11 players of the Indian cricket team are sitting at a circular table. The number of ways they can sit so that two players, the wicket keeper and the captain never sit together is ___

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  5. Question 5

    Circle. This type asked 3 times: 10 May 2024 S1, 12 May 2024 S2, 17 Apr 2026 S2. This one: 17 Apr 2026 S2 See all 3 of this type

    56
    If the circles x2+y2=16x^2 + y^2 = 16 and x2+y2+2ax+4y+4=0x^2 + y^2 + 2ax + 4y + 4 = 0 touch each other internally then a=a =

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