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Day 482: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 16 Apr 2026 S2

    88
    The equation of a line in cartesian form passing through (0, 0, 0) and (4, 3, c) and parallel to a⃗×b⃗\vec{a} \times \vec{b} where a⃗=2i^+j^+2k^,b⃗=3i^−4j^\vec{a} = 2\hat{i} + \hat{j} + 2\hat{k}, \vec{b} = 3\hat{i} - 4\hat{j} is

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  2. Question 2

    Permutations and Combinations. Asked once: 16 May 2023 S1

    132
    Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First the women choose chairs from amongst the chairs marked 1 to 4, and then the men select the chairs from amongst the remaining. The number of possible arrangements is

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  3. Question 3

    Probability Distribution. Asked once: 21 Apr 2025 S2

    146
    If A,B,CA,B,C are mutually exclusive and exhaustive events of a sample space SS such that P(B)=32P(A)P(B) =\frac{3}{2}P(A) and P(C)=12P(B)P(C) =\frac{1}{2}P(B), then P(A)=P(A) =

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  4. Question 4

    Sets, Relations and Functions. Asked once: 15 May 2023 S1

    126
    Let f(x)=(x+1)2−1,x≥−1f(x)=(x+1)^{2}-1, x\geq-1, then the set {x:f(x)=f−1(x)}\{x: f(x)=f^{-1}(x)\} is

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  5. Question 5

    Straight Line. Asked once: 14 May 2024 S1

    112
    pp is the length of perpendicular from the origin to the line whose intercepts on the axes are aa and bb respectively, then 1a2+1b2\dfrac{1}{a^2}+\dfrac{1}{b^2} equals.

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