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Day 296: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 10 May 2024 S2 (same type asked 5 times) See all 5 of this type

    140
    The displacement 'S' of a moving particle at a time is given by S=5+48t−t3S=5+48t-t^3. Then its acceleration when the velocity is zero, is

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  2. Question 2

    Line and Plane. Asked once: 25 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    110
    If the plane x2−y3−z5=1\frac{x}{2}-\frac{y}{3}-\frac{z}{5}= 1 cuts the co-ordinate axes in points A,B,CA,B,C respectively, then the area of the triangle ABCABC is

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  3. Question 3

    Differential Equations. Asked once: 22 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    149
    The equation of the curve passing through (2,92)\left( 2,\frac{9}{2} \right) and having the slope (1−1x2)\left( 1 -\frac{1}{x^{2}} \right) at (x,y)(x,y) is

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  4. Question 4

    Line and Plane. Asked once: 20 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    108
    If the angle between the planes x−2y+3z−5=0x- 2y+ 3z- 5 = 0 and x+αy+2z+7=0x+\alpha y+ 2z+ 7 = 0 is cos⁡−1(114)\cos^{- 1}\left( \frac{1}{14} \right) then the difference between the values of α\alpha is

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  5. Question 5

    Determinants and Matrices. Asked once: 10 May 2023 S1 (same type asked 5 times) See all 5 of this type

    115
    If A+B=(1tan⁡θ2−tan⁡θ21)A+B=\begin{pmatrix}1 & \tan\frac{\theta}{2}\\-\tan\frac{\theta}{2} & 1\end{pmatrix}, where A is symmetric and B is skew-symmetric matrix, then the matrix A−1B+AB−1A^{-1}B+AB^{-1} at θ=π6\theta=\frac{\pi}{6} is given by

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