PYQ Vault

Day 150: CBSE Class 12 Maths

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

  1. Question 1

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

    22
    If [3−1012−3]A=[2−5−17]\begin{bmatrix} 3 & -1 \\ 0 & 1 \\ 2 & -3 \end{bmatrix} A = \begin{bmatrix} 2 \\ -5 \\ -17 \end{bmatrix}, then find matrix A.

  2. Question 2

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

    31 (a)
    The probability that a student buys a colouring book is 0⋅70{\cdot}7 and that she buys a box of colours is 0⋅20{\cdot}2. The probability that she buys a colouring book, given that she buys a box of colours, is 0⋅30{\cdot}3. Find the probability that the student : (i) Buys both the colouring book and the box of colours. (ii) Buys a box of colours given that she buys the colouring book.

  3. Question 3

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

    33 (a)
    Show that a function f:R→Rf : R \to R defined as f(x)=x2+x+1f(x) = x^2 + x + 1 is neither one-one nor onto. Also, find all the values of x for which f(x)=3f(x) = 3.

  4. Question 4

    Relations and Functions. Asked once: 2025 (same type asked 3 times)

    10
    If R be a relation defined as a R ba\,R\,b iff ∣a−b∣>0|a - b| > 0, a, b∈Ra,\ b \in \mathbb{R} then R is :

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  5. Question 5

    Three Dimensional Geometry. Asked once: 2025 (same type asked 3 times)

    6
    The coordinates of the foot of the perpendicular drawn from the point A(−2,3,5)(-2, 3, 5) on the y-axis is :

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