PYQ Vault

Day 230: CBSE Class 12 Maths

5 questions (6 parts). Try each one first, then open its answer.

  1. Question 1

    Matrices. Asked once: 2023 (same type asked 3 times)

    14
    If A=[01−10]A = \begin{bmatrix} 0 & 1 \\ -1 & 0 \end{bmatrix} and (3I+4A)(3I−4A)=x2I(3I + 4A)(3I - 4A) = x^2 I, then the value(s) x is/are :

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  2. Question 2

    Application of Derivatives. Asked once: 2024 (same type asked 3 times)

    9
    The function f(x)=x2+2xf(x) = \dfrac{x}{2} + \dfrac{2}{x} has a local minima at xx equal to :

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  3. Question 3

    Application of Derivatives. Asked once: 2023 (same type asked 3 times)

    9
    The function f(x)=x3+3xf(x) = x^3 + 3x is increasing in interval

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  4. Question 4

    Application of Integrals. Asked once: 2022 (same type asked 3 times)

    13 (a)
    Using integration, find the area of the region enclosed by the curve y=x2y = x^2, the xx-axis and the ordinates x=−2x = -2 and x=1x = 1.

  5. Question 5 (case study, 2 parts)

    Continuity and Differentiability. Asked once: 2023 (same type asked 3 times)

    A volleyball player serves the ball which takes a parabolic path given by the equation h(t)=−72t2+132t+1h(t) = -\frac{7}{2} t^2 + \frac{13}{2} t + 1, where h(t) is the height of ball at any time t (in seconds), (t≥0)(t \geq 0).
    38 (i)
    Is h(t) a continuous function ? Justify.
    38 (ii)
    Find the time at which the height of the ball is maximum.