PYQ Vault

Day 170: CBSE Class 12 Maths

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

  1. Question 1

    Probability. Asked once: 2024 (same type asked 4 times)

    31
    Bag I contains 3 red and 4 black balls, Bag II contains 5 red and 2 black balls. Two balls are transferred at random from Bag I to Bag II and then a ball is drawn at random from Bag II. Find the probability that the drawn ball is red in colour.

  2. Question 2

    Probability. Asked once: 2023 (same type asked 4 times)

    Two statements are given, one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer from the options given below.
    19
    Assertion (A) : Two coins are tossed simultaneously. The probability of getting two heads, if it is known that at least one head comes up, is 13\dfrac{1}{3}. Reason (R) : Let E and F be two events with a random experiment, then P(F/E)=P(E∩F)P(E)P(F/E) = \dfrac{P(E \cap F)}{P(E)}.

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: 2022 (same type asked 4 times)

    6 (a)
    Events A and B are such that P(A)=12P(A) = \dfrac{1}{2}, P(B)=712P(B) = \dfrac{7}{12} and P(A‾∪B‾)=14P\left(\overline{A} \cup \overline{B}\right) = \dfrac{1}{4} Find whether the events A and B are independent or not.

  4. Question 4

    Three Dimensional Geometry. Asked once: 2025 (same type asked 4 times)

    35 (b)
    Find the image of the point (−1,5,2)(-1, 5, 2) in the line 2x−42=y2=2−z3\dfrac{2x - 4}{2} = \dfrac{y}{2} = \dfrac{2 - z}{3}. Find the length of the line segment joining the points (given point and the image point).

  5. Question 5

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

    24
    Find the coordinates of points on line x1=y−12=z+12\frac{x}{1} = \frac{y - 1}{2} = \frac{z + 1}{2} which are at a distance of 11\sqrt{11} units from origin.