PYQ Vault

Day 285: CBSE Class 12 Maths

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

  1. Question 1

    Relations and Functions. Asked once: 2024

    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) : The relation R={(x,y):(x+y)R = \{(x, y) : (x + y) is a prime number and x,y∈N}x, y \in N\} is not a reflexive relation. Reason (R) : The number '2n' is composite for all natural numbers n.

    Tap an option to check your answer.

  2. Question 2

    Vector Algebra. Asked once: 2024

    8
    If a⃗=2i^−j^+k^\vec{a} = 2\hat{i} - \hat{j} + \hat{k} and b⃗=i^+j^−k^\vec{b} = \hat{i} + \hat{j} - \hat{k}, then a⃗\vec{a} and b⃗\vec{b} are :

    Tap an option to check your answer.

  3. Question 3

    Relations and Functions. Asked once: 2023

    1
    Let A = {3, 5}. Then number of reflexive relations on A is

    Tap an option to check your answer.

  4. Question 4

    Vector Algebra. Asked once: 2024

    30
    Given a⃗=2i^−j^+k^\vec{a} = 2\hat{i} - \hat{j} + \hat{k}, b⃗=3i^−k^\vec{b} = 3\hat{i} - \hat{k} and c⃗=2i^+j^−2k^\vec{c} = 2\hat{i} + \hat{j} - 2\hat{k}. Find a vector d⃗\vec{d} which is perpendicular to both a⃗\vec{a} and b⃗\vec{b} and c⃗⋅d⃗=3\vec{c} \cdot \vec{d} = 3.

  5. Question 5

    Relations and Functions. Asked once: 2023

    21 (a)
    A function f:A→Bf : A \to B defined as f(x)=2xf(x) = 2x is both one-one and onto. If A={1,2,3,4}A = \{1, 2, 3, 4\}, then find the set B.