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Day 461: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 17 Apr 2026 S2

    99
    If a discrete random variable XX takes the values 1,2,3,41, 2, 3, 4 such that 2P(X=1)=3P(X=2)=P(X=3)=5P(X=4)2P(X = 1) = 3P(X = 2) = P(X = 3) = 5P(X = 4), then P(X=4)=…P(X = 4) = \ldots

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  2. Question 2

    Sets, Relations and Functions. Asked once: 15 Apr 2026 S1

    68
    If f(x−y)+f(x+y)=2f(x)f(y)f(x - y) + f(x + y) = 2f(x)f(y) for all x,y∈Rx, y \in \mathbb{R}, then f(x)f(x) is .....

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  3. Question 3

    Straight Line. Asked once: 23 Apr 2025 S1

    107
    The distance of the point (1,2)(1,2) from the line x+y=0x+y= 0 measured parallel to the line 3x−y=23x-y= 2 is

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  4. Question 4

    Trigonometric Functions. Asked once: 13 May 2026 S1

    57
    With usual notations, if the perimeter of a triangle is 2s2s, then its maximum area is:

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  5. Question 5

    Trigonometry - II. Asked once: 15 Apr 2026 S1

    54
    If P=tan⁡20∘P = \tan 20^\circ, then the value of tan⁡160∘−tan⁡110∘1+tan⁡160∘tan⁡110∘\dfrac{\tan 160^\circ - \tan 110^\circ}{1 + \tan 160^\circ \tan 110^\circ} in terms of PP, is...

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