PYQ Vault

Day 235: CBSE Class 12 Maths

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

  1. Question 1

    Probability. Asked once: 2024 (same type asked 5 times)

    11
    Let E be an event of a sample space S of an experiment, then P(S ∣ E)=P(S \,|\, E) =

    Tap an option to check your answer.

  2. Question 2

    Probability. Asked once: 2023 (same type asked 5 times)

    18
    The probability that A speaks the truth is 45\dfrac{4}{5} and that of B speaking the truth is 34\dfrac{3}{4}. The probability that they contradict each other in stating the same fact is :

    Tap an option to check your answer.

  3. Question 3

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    13
    The value of k for which f(x)={3x+5,x≥2kx2,x<2f(x) = \begin{cases} 3x + 5, & x \ge 2 \\ kx^2, & x < 2 \end{cases} is a continuous function, is :

    Tap an option to check your answer.

  4. Question 4

    Continuity and Differentiability. Asked once: 2024 (same type asked 4 times)

    22 (a)
    Check the differentiability of function f(x)=[x]f(x) = [x] at x=−3x = -3, where [⋅][\cdot] denotes greatest integer function.

  5. Question 5

    Continuity and Differentiability. Asked once: 2023 (same type asked 4 times)

    7
    If y=log⁡(sin⁡ex)y = \log (\sin e^x), then dydx\dfrac{dy}{dx} is :

    Tap an option to check your answer.