PYQ Vault

Day 182: CBSE Class 12 Maths

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

  1. Question 1

    Relations and Functions. Asked once: 2023 (same type asked 3 times)

    32
    A relation R is defined on a set of real numbers R\mathbb{R} as R={(x,y):x⋅y is an irrational number}R = \{(x, y) : x \cdot y \text{ is an irrational number}\}. Check whether R is reflexive, symmetric and transitive or not.

  2. Question 2

    Vector Algebra. Asked once: 2025 (same type asked 3 times)

    6
    If P is a point on the line segment joining (3,6,−1)(3, 6, -1) and (6,2,−2)(6, 2, -2) and y-coordinate of P is 4, then its z-coordinate is :

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: 2022 (same type asked 3 times)

    13
    There are two boxes, namely box-I and box-II. Box-I contains 3 red and 6 black balls. Box-II contains 5 red and 5 black balls. One of the two boxes, is selected at random and a ball is drawn at random. The ball drawn is found to be red. Find the probability that this red ball comes out from box-II.

  4. Question 4

    Determinants. Asked once: 2023 (same type asked 2 times)

    2
    If the area of a triangle with vertices (2,−6)(2, -6), (5,4)(5, 4) and (k,4)(k, 4) is 35 sq units, then k is

    Tap an option to check your answer.

  5. Question 5

    Determinants. Asked once: 2025 (same type asked 2 times)

    33
    A furniture workshop produces three types of furniture – chairs, tables and beds each day. On a particular day the total number of furniture pieces produced is 45. It was also found that production of beds exceeds that of chairs by 8, while the total production of beds and chairs together is twice the production of tables. Determine the units produced of each type of furniture, using matrix method.