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Day 415: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 10 May 2023 S1 (same type asked 11 times) See all 11 of this type

    118
    If cos⁡xdydx−ysin⁡x=6x,  0<x<π2\cos x\frac{dy}{dx}-y\sin x=6x,\;0<x<\frac{\pi}{2}, then general solution of the differential equation is

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  2. Question 2

    Mathematical Logic. Asked once: 10 May 2023 S2 (same type asked 19 times) See all 19 of this type

    118
    The expression ((p∧q)∨(p∨∼q))∧(∼p∧∼q)((p\wedge q)\vee(p\vee\sim q))\wedge(\sim p\wedge\sim q) is equivalent to

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  3. Question 3

    Applications of Definite Integral. Asked once: 13 May 2026 S1

    84
    The area bounded by 5x2−y=05x^2 - y = 0 and 2x2−y+9=02x^2 - y + 9 = 0 is (in sq.units)...

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  4. Question 4

    Applications of Derivative. Asked once: 19 May 2026 S2

    76
    If f(x)f(x) satisfy the condition of Rolle's Theorm in [1,2][1, 2] and f(x)f(x) is continuous in [1,2][1, 2] then ∫12f′(x) dx\int_1^2 f'(x)\,dx is equal to _____

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  5. Question 5

    Binomial Distribution. Asked once: 12 May 2026 S2

    98
    A coin whose faces are marked as 55 and 33 is tossed 44 times. The probability that the sum of the numbers on the coin is greater than 1717 is ___

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