PYQ Vault

Day 174: CBSE Class 12 Maths

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

  1. Question 1

    Probability. Asked once: 2025 (same type asked 4 times)

    31
    A coin is biased so that the head is 3 times as likely to occur as tail. If the coin is tossed three times, find the probability distribution of number of tails. Hence, find the mean of the distribution.

  2. Question 2

    Three Dimensional Geometry. Asked once: 2023 (same type asked 4 times)

    25
    Find the vector and the cartesian equations of a line that passes through the point A(1, 2, −1-1) and parallel to the line 5x−25=14−7y=35z5x - 25 = 14 - 7y = 35z.

  3. Question 3

    Three Dimensional Geometry. Asked once: 2022 (same type asked 4 times)

    10 (a)
    If a line makes 60∘60^\circ and 45∘45^\circ angles with the positive directions of x-axis and z-axis respectively, then find the angle that it makes with the positive direction of y-axis. Hence, write the direction cosines of the line.

  4. Question 4

    Application of Derivatives. Asked once: 2026 (same type asked 3 times)

    11
    The least value of f(x)=e−xf(x) = e^{-x} in [0, 3] is

    Tap an option to check your answer.

  5. Question 5

    Application of Derivatives. Asked once: 2026 (same type asked 3 times)

    23
    Find the interval(s) in which the function f(x)=xlog⁡xf(x) = \dfrac{x}{\log x}, where x∈(0,1)∪(1,∞)x \in (0, 1) \cup (1, \infty), is increasing.