PYQ Vault

Day 281: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 16 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    61
    Simplest form of the following switching circuit is

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  2. Question 2

    Vectors. Asked once: 22 Apr 2025 S2 (same type asked 7 times) See all 7 of this type

    118
    The number of integral values of pp for which the vectors (p+1)i^−3j^+pk^,pi^+(p+1)j^−3k^(p + 1)\widehat{i}- 3\widehat{j}+ p\widehat{k},p\widehat{i}+ (p + 1)\widehat{j}- 3\widehat{k} and −3i^+pj^+(p+1)k^- 3\widehat{i}+ p\widehat{j}+ (p + 1)\widehat{k} are linearly dependent vectors, are

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  3. Question 3

    Differential Equations. Asked once: 16 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    81
    The integrating factor of the differential equation (1+t2)+(x−etan⁡−1t)dtdx=0(1 + t^2) + \left(x - e^{\tan^{-1}t}\right)\dfrac{dt}{dx} = 0 is

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  4. Question 4

    Line and Plane. Asked once: 25 Apr 2025 S2 (same type asked 7 times) See all 7 of this type

    119
    If the lines x=ay−1=z−2x=ay- 1 =z- 2 and x=3y−2=bz−2(ab≠0)x= 3y- 2 = bz - 2(ab \neq 0) are coplanar, then

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  5. Question 5

    Trigonometric Functions. Asked once: 11 May 2023 S2 (same type asked 7 times) See all 7 of this type

    107
    The angles of a triangle are in the ratio 5:1:6, then ratio of the smallest side to the greatest side is

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