PYQ Vault
EbooksTutor

Day 71: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked 3 times: 3 May 2023 S2*, 16 May 2023 S2, 25 Apr 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    112
    If y=tan⁡−1(4x1+5x2)+cot⁡−1(3−2x2+3x)y=\tan^{- 1}\left( \frac{4x}{1 + 5x^{2}} \right)+\cot^{- 1}\left( \frac{3 - 2x}{2 + 3x} \right), then dydx\frac{dy}{dx} is equal to

    Tap an option to check your answer.

  2. Question 2

    Vectors. Asked 3 times: 9 May 2023 S1*, 9 May 2024 S2, 25 Apr 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    105
    If a‾=i^+j^+k^,b‾=j^−k^\overline{a}=\widehat{i}+\widehat{j}+\widehat{k},\overline{b}=\widehat{j}-\widehat{k} then a vector c‾\overline{c} such that a‾×c‾=b‾\overline{a}\times\overline{c}=\overline{b} and a‾⋅c‾=3\overline{a}\cdot\overline{c}= 3 is

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. Asked 3 times: May 2022 S1*, 13 May 2024 S2*, 25 Apr 2025 S1 (* = numbers or wording changed that year) See all 3 times it was asked

    119
    A tetrahedron has vertices O(0,0,0),A(1,2,1)O(0,0,0),A(1,2,1), B(2,1,3),C(−1,1,2)B(2,1,3),C( - 1,1,2). Then the angle between the faces OAB and ABC will be

    Tap an option to check your answer.

  4. Question 4

    Differential Equations. Asked 3 times: 3 May 2023 S1, 10 May 2024 S2, 23 Apr 2025 S1 See all 3 times it was asked

    117
    The differential equation of all circles touching the Y -axis at the origin and center on the X -axis is

    Tap an option to check your answer.

  5. Question 5

    Applications of Derivative. Asked 3 times: 15 May 2023 S2, 10 May 2024 S1*, 22 Apr 2025 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    140
    An open tank with a square bottom is to contain 4000 cubic cm. of liquid. The dimensions of the tank so that the surface area of the tank is minimum, is

    Tap an option to check your answer.