PYQ Vault

Day 284: CBSE Class 12 Maths

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

  1. Question 1

    Vector Algebra. Asked once: 2024

    11
    If a⃗\vec{a} and b⃗\vec{b} are two vectors such that ∣a⃗∣=1|\vec{a}| = 1, ∣b⃗∣=2|\vec{b}| = 2 and a⃗⋅b⃗=3\vec{a} \cdot \vec{b} = \sqrt{3}, then the angle between 2a⃗2\vec{a} and −b⃗-\vec{b} is :

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  2. Question 2

    Relations and Functions. Asked once: 2024

    13
    A relation R defined on set A={x:x∈Z and 0≤x≤10}A = \{x : x \in Z \text{ and } 0 \leq x \leq 10\} as R={(x,y):x=y}R = \{(x, y) : x = y\} is given to be an equivalence relation. The number of equivalence classes is :

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  3. Question 3

    Vector Algebra. Asked once: 2024

    27
    If vectors a⃗\vec{a}, b⃗\vec{b} and 2a⃗+3b⃗2\vec{a} + 3\vec{b} are unit vectors, then find the angle between a⃗\vec{a} and b⃗\vec{b}.

  4. Question 4

    Relations and Functions. Asked once: 2024

    8
    A function f:R→Af : R \to A defined as f(x)=x2+1f(x) = x^2 + 1 is onto, if A is :

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  5. Question 5

    Vector Algebra. Asked once: 2024

    15
    The vector with terminal point A (2, −- 3, 5) and initial point B (3, −- 4, 7) is :

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