PYQ Vault

Day 141: CBSE Class 12 Maths

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

  1. Question 1

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

    13
    Let A=[aij]A = [a_{ij}] be a square matrix of order 3 such that aij=j^−2i^a_{ij} = \hat{j} - 2\hat{i}. Then which of the following is true ?

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  2. Question 2

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

    30 (b)
    For the vacancy advertised in the newspaper, 3000 candidates submitted their applications. From the data it was revealed that two third of the total applicants were females and other were males. The selection for the job was done through a written test. The performance of the applicants indicates that the probability of a male getting a distinction in written test is 0.4 and that a female getting a distinction is 0.35. Find the probability that the candidate chosen at random will have a distinction in the written test.

  3. Question 3

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

    12
    If the sum of numbers obtained on throwing a pair of dice is 9, then the probability that number obtained on one of the dice is 4, is :

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  4. Question 4

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

    31 (b)
    A fair coin and an unbiased die are tossed. Let A be the event, "Head appears on the coin" and B be the event, "3 comes on the die". Find whether A and B are independent events or not.

  5. Question 5

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

    34 (b)
    Find the image A′ of the point A(2, 1, 2) in the line l:r⃗=4i^+2j^+2k^+λ (i^−j^−k^)l : \vec{r} = 4\hat{i} + 2\hat{j} + 2\hat{k} + \lambda\,(\hat{i} - \hat{j} - \hat{k}). Also, find the equation of line joining AA′. Find the foot of perpendicular from point A on the line ll.