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Day 205: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 15 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    71
    If y=cos⁡−1(sin⁡x)y = \cos^{-1}(\sin x), where π2<x<π\dfrac{\pi}{2} < x < \pi, then dydx=…\dfrac{dy}{dx} = \ldots

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  2. Question 2

    Line and Plane. Asked once: 26 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    144
    If the plane x2+y3+z6=1\frac{x}{2}+\frac{y}{3}+\frac{z}{6}= 1 cuts the co-ordinate axes at points A,B,CA,B,C respectively, then area of the triangle ABC is

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  3. Question 3

    Differential Equations. Asked once: 11 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    85
    The particular solution of the differential equation xdy+2ydx=0xdy + 2ydx = 0, when x=2x = 2 and y=1y = 1 is

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  4. Question 4

    Line and Plane. Asked once: 16 Apr 2026 S1 (same type asked 5 times) See all 5 of this type

    91
    The direction ratios of the normal to the plane passing through (1, 0, 0), (0, 1, 0) which makes an angle of measure 45∘45^\circ with the plane 2x+3y=72x + 3y = 7 are....

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  5. Question 5

    Determinants and Matrices. Asked once: 22 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    102
    If A=[1cot⁡θ2−cot⁡θ21]A =\begin{bmatrix} 1 & \cot\frac{\theta}{2} \\ - \cot\frac{\theta}{2} & 1 \end{bmatrix} then A−1=A^{- 1}=

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