PYQ Vault

Day 178: 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)

    35
    A function f:[−4,4]→[0,4]f : [-4, 4] \to [0, 4] is given by f(x)=16−x2f(x) = \sqrt{16 - x^2}. Show that f is an onto function but not a one-one function. Further, find all possible values of 'a' for which f(a)=7f(a) = \sqrt{7}.

  2. Question 2

    Relations and Functions. Asked once: 2024 (same type asked 3 times)

    7
    A relation R defined on a set of human beings as R = {(x, y) : x is 5 cm shorter than y} is :

    Tap an option to check your answer.

  3. Question 3

    Three Dimensional Geometry. Asked once: 2024 (same type asked 3 times)

    9
    The coordinates of the foot of the perpendicular drawn from the point (0, 1, 2) on the x-axis are given by :

    Tap an option to check your answer.

  4. Question 4

    Three Dimensional Geometry. Asked once: 2023 (same type asked 3 times)

    25
    Find the angle between the following two lines : r⃗=2i^−5j^+k^+λ(3i^+2j^+6k^)\vec{r} = 2\hat{i} - 5\hat{j} + \hat{k} + \lambda(3\hat{i} + 2\hat{j} + 6\hat{k}); r⃗=7i^−6k^+μ(i^+2j^+2k^)\vec{r} = 7\hat{i} - 6\hat{k} + \mu(\hat{i} + 2\hat{j} + 2\hat{k})

  5. Question 5

    Vector Algebra. Asked once: 2023 (same type asked 3 times)

    13
    Two vectors a⃗=a1i^+a2j^+a3k^\vec{a} = a_1\hat{i} + a_2\hat{j} + a_3\hat{k} and b⃗=b1i^+b2j^+b3k^\vec{b} = b_1\hat{i} + b_2\hat{j} + b_3\hat{k} are collinear if

    Tap an option to check your answer.