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Day 232: MHT-CET Maths

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

  1. Question 1

    Circle. Asked once: 16 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    58
    The equations of the tangent to the curve x2+y2=10x^2 + y^2 = 10, where the tangent is parallel to the line 2x+y−1=02x + y - 1 = 0, are

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  2. Question 2

    Applications of Definite Integral. Asked once: 10 May 2024 S2 (same type asked 3 times) See all 3 of this type

    109
    The area bounded by the X-axis and the curve y=x(x−2)(x+1)y=x(x-2)(x+1) is

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  3. Question 3

    Determinants and Matrices. Asked once: 16 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    65
    If A=[2−102]A = \begin{bmatrix} 2 & -1 \\ 0 & 2 \end{bmatrix} and A2+xA+yI2=O2A^2 + xA + yI_2 = O_2, where I2I_2 and O2O_2 are the identity matrix and null matrix of order 2 respectively, then:

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  4. Question 4

    Differentiation. Asked once: 11 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    69
    If y=f(3+2x3−2x)y = f\left(\dfrac{3 + 2x}{3 - 2x}\right), where f(x)=tan⁡(log⁡x)f(x) = \tan(\log x) and dydx=(AB+Cx2)⋅sec⁡2(log⁡(3+2x3−2x))\dfrac{dy}{dx} = \left(\dfrac{A}{B + Cx^2}\right)\cdot\sec^2\left(\log\left(\dfrac{3 + 2x}{3 - 2x}\right)\right), then the respective values of A, B and C are ......

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  5. Question 5

    Line and Plane. Asked once: 10 May 2023 S1 (same type asked 3 times) See all 3 of this type

    119
    Equation of the plane, through the points (−1,2,−2)(-1,2,-2) and (−1,3,2)(-1,3,2) and perpendicular to yzyz-plane, is

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