PYQ Vault

Day 524: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 23 Apr 2025 S1

    106
    Let aˉ=i^+j^+k^,bˉ\bar{a}=\widehat{i}+\widehat{j}+\widehat{k},\bar{b} and cˉ=j^−k^\bar{c}=\widehat{j}-\widehat{k} be three vectors such that a‾×b‾=c‾\overline{a}\times\overline{b}=\overline{c} and a‾⋅c‾=1\overline{a}\cdot\overline{c}= 1. If the length of projection vector of the vector b‾\overline{b} on the vector a‾×c‾\overline{a}\times\overline{c} is ll, then the value of 3l23l^{2} is

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  2. Question 2

    Applications of Derivative. Asked once: 10 May 2023 S1

    140
    The approximate value of x3−2x2+3x+2x^3-2x^2+3x+2 at x=2.01x=2.01 is

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  3. Question 3

    Differentiation. Asked once: 13 May 2024 S2

    107
    Slope of the tangent to the curve y=2exsin⁡ ⁣(π4−x2)cos⁡ ⁣(π4−x2)y=2e^x\sin\!\left(\frac{\pi}{4}-\frac{x}{2}\right)\cos\!\left(\frac{\pi}{4}-\frac{x}{2}\right) where 0≤x≤2π0\leq x\leq2\pi is minimum at x=x=

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  4. Question 4

    Indefinite Integration. Asked once: 21 Apr 2025 S1

    122
    ∫x2−6x−16dx\int\sqrt{x^{2}- 6x- 16}dx equals

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  5. Question 5

    Line and Plane. Asked once: 20 Apr 2025 S2

    109
    If the points A(1,1,2),B(2,1,p),C(1,0,3)A(1,1,2),B(2,1,p),C(1,0,3) and D(2,2,0)D(2,2,0) are coplanar then the value of pp is

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