PYQ Vault

Day 355: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 9 May 2024 S1 (same type asked 4 times) See all 4 of this type

    122
    If f:R−{−35}→Rf:\mathbb{R}-\left\{-\frac{3}{5}\right\}\to\mathbb{R} is defined by f(x)=3x−25x+3f(x)=\frac{3x-2}{5x+3}, then f∘f(1)f\circ f(1) is

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  2. Question 2

    Differential Equations. Asked once: 2 May 2023 S1 (same type asked 4 times) See all 4 of this type

    125
    The solution of the differential equation dydx=(x−y)2\dfrac{dy}{dx} = (x-y)^2 when y(1)=1y(1) = 1 is

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  3. Question 3

    Trigonometric Functions. Asked once: May 2022 S1 (same type asked 4 times) See all 4 of this type

    113
    The value of sin⁡ ⁣(2sin⁡−10.8)\sin\!\left(2\sin^{-1} 0.8\right) is equal to

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  4. Question 4

    Applications of Derivative. Asked once: 4 May 2023 S1 (same type asked 4 times) See all 4 of this type

    142
    If sum of two numbers is 3, then the maximum value of the product of first number and square of the second number is

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  5. Question 5

    Permutations and Combinations. Asked once: 2 May 2023 S2 (same type asked 4 times) See all 4 of this type

    137
    Number of different nine-digit numbers that can be formed from the digits in 223355888 by rearranging, so that the odd digits occupy even positions, is

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