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Day 332: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 11 May 2023 S1 (same type asked 9 times) See all 9 of this type

    110
    If f(x)=(1+x)(1+x2)(1+x4)(1+x8)f(x) = (1+x)(1+x^2)(1+x^4)(1+x^8), then f′(1)=f'(1) =

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  2. Question 2

    Differential Equations. Asked once: 25 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    113
    The differential equation xdydx=2yx\frac{dy}{dx}= 2y represents

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  3. Question 3

    Line and Plane. Asked once: 19 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    104
    The distance of the point (−3,2,3)( - 3,2,3) from the line passing through (4,6,−2)(4,6, - 2) and having direction ratios −1,2,3- 1,2,3 is ____\_\_\_\_ units.

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  4. Question 4

    Definite Integration. Asked once: 20 Apr 2025 S2 (same type asked 8 times) See all 8 of this type

    125
    ∫0π2dx1+(cot⁡x)101=\int_{0}^{\frac{\pi}{2}} \frac{dx}{1 + (\cot x)^{101}}=

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  5. Question 5

    Determinants and Matrices. Asked once: 19 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    66
    The inverse of the matrix A=[2−144−31121]A = \begin{bmatrix} 2 & -1 & 4 \\ 4 & -3 & 1 \\ 1 & 2 & 1 \end{bmatrix} is B=137[−5911−3−21411−5k]B = \dfrac{1}{37}\begin{bmatrix} -5 & 9 & 11 \\ -3 & -2 & 14 \\ 11 & -5 & k \end{bmatrix}, then the value of kk is...

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