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Day 149: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. This type asked 2 times: 20 Apr 2025 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 2 of this type

    100
    Two numbers are selected at random without replacement from the first nn natural numbers. Let X denote the larger of the two numbers obtained. If E(X)=143E(X) = \dfrac{14}{3}, then the value of nn is

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  2. Question 2

    Trigonometric Functions. This type asked 2 times: 15 May 2023 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 2 of this type

    68
    If −1≤x≤−12-1 \le x \le -\dfrac{1}{\sqrt{2}} then sin⁡−1(2x1−x2)=\sin^{-1}\left(2x\sqrt{1 - x^2}\right) =

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  3. Question 3

    Vectors. This type asked 2 times: 15 May 2023 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 2 of this type

    97
    If the points A(1,p,1),B(2,5,−1),C(q,11,r)A(1, p, 1), B(2, 5, -1), C(q, 11, r) are collinear. If the line passing through these points is perpendicular to the vector 4i^−2j^+k^4\hat{i} - 2\hat{j} + \hat{k}, then the value of p+q+rp + q + r is

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  4. Question 4

    Circle. This type asked 2 times: 23 Apr 2025 S1, 14 May 2026 S1. This one: 14 May 2026 S1 See all 2 of this type

    59
    The equation of a circle with origin as centre and passing through the vertices of an equilateral triangle whose median is of length 3a3a is

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  5. Question 5

    Applications of Derivative. This type asked 2 times: 4 May 2023 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 2 of this type

    77
    The approximate value of sin⁡−1(0.51)\sin^{-1}(0.51) is ....... [Given π=3.1416\pi = 3.1416, 23=1.1547\dfrac{2}{\sqrt{3}} = 1.1547]

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