PYQ Vault
EbooksTutor

Day 131: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked 2 times: 11 May 2023 S1*, 12 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    108
    If f(x)=sin⁡−1 ⁣(2log⁡x1+(log⁡x)2)f(x) = \sin^{-1}\!\left(\frac{2\log x}{1+(\log x)^2}\right), then f′(e)f'(e) is

    Tap an option to check your answer.

  2. Question 2

    Line and Plane. Asked 2 times: 16 May 2023 S1, 12 May 2024 S2 See all 2 times it was asked

    136
    The length (in units) of the projection of the line segment, joining the points (5,−1,4)(5,-1,4) and (4,−1,3)(4,-1,3), on the plane x+y+z=7x+y+z=7 is

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. Asked 2 times: May 2022 S1, 12 May 2024 S2 See all 2 times it was asked

    146
    The equation of the line, passing through (1,2,3)(1,2,3) and parallel to planes x−y+2z=5x-y+2z=5 and 3x+y+z=63x+y+z=6, is

    Tap an option to check your answer.

  4. Question 4

    Trigonometric Functions. Asked 2 times: May 2022 S1, 12 May 2024 S2 See all 2 times it was asked

    116
    If tan⁡−1 ⁣(1−x1+x)=12tan⁡−1x\tan^{-1}\!\left(\frac{1-x}{1+x}\right) = \frac{1}{2}\tan^{-1}x, then xx is

    Tap an option to check your answer.

  5. Question 5

    Trigonometric Functions. Asked 2 times: 4 May 2023 S1*, 12 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    113
    The value of xx, for which sin⁡ ⁣(cot⁡−1(x))=cos⁡ ⁣(tan⁡−1(1+x))\sin\!\left(\cot^{-1}(x)\right) = \cos\!\left(\tan^{-1}(1+x)\right), is

    Tap an option to check your answer.