PYQ Vault

Day 116: MHT-CET Maths

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

  1. Question 1

    Circle. Asked 2 times: 21 Apr 2025 S1*, 26 Apr 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    106
    The least distance of the point A(10,7)A(10,7) from the circle x2+y2−4x−2y−20=0x^{2}+y^{2}- 4x- 2y- 20 = 0 is length of seg AM. If MM′MM^{'} is the diameter of the circle, then the lengths of AMAM and AM′AM^{'} are respectively ____\_\_\_\_ , ____\_\_\_\_ units

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  2. Question 2

    Complex Numbers. Asked 2 times: 19 Apr 2025 S1*, 26 Apr 2025 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    113
    The modulus of the square root of the complex number 6+8i6 + 8i (where i=−1i=\sqrt{- 1} ) is

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  3. Question 3

    Determinants and Matrices. Asked 2 times: 4 May 2023 S1, 26 Apr 2025 S1 See all 2 times it was asked

    143
    Matrix A is non-singular matrix and (A−3I)(A−5I)=0(A- 3I)(A- 5I) = 0, then 158A−1=\frac{15}{8}A^{- 1}= ____\_\_\_\_

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  4. Question 4

    Indefinite Integration. Asked 2 times: May 2022 S1, 26 Apr 2025 S1 See all 2 times it was asked

    147
    ∫tan⁡xsin⁡x⋅cos⁡x dx=\displaystyle\int\dfrac{\sqrt{\tan x}}{\sin x\cdot \cos x}\,dx=

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  5. Question 5

    Linear Programming. Asked 2 times: 21 Apr 2025 S2, 26 Apr 2025 S1 See all 2 times it was asked

    126
    The solution for minimizing the function z=x+yz =x+y under an L.P.P. with constraints x+y≥2,x+2y≤8,y≤3,x,y≥0x+y\geq 2,x+ 2y\leq 8,y\leq 3,x,y\geq 0 is

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