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Day 335: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 10 May 2024 S1 (same type asked 8 times) See all 8 of this type

    136
    If y=cos⁡−1 ⁣(a2x4+a4)y=\cos^{-1}\!\left(\frac{a^2}{\sqrt{x^4+a^4}}\right), then dydx\frac{dy}{dx} is

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  2. Question 2

    Trigonometric Functions. Asked once: 10 May 2024 S1 (same type asked 8 times) See all 8 of this type

    103
    Solution of tan⁡−1(1+x)+tan⁡−1(1−x)=π2\tan^{-1}(1+x)+\tan^{-1}(1-x)=\frac{\pi}{2} is

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  3. Question 3

    Linear Programming. Asked once: 19 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    132
    The feasible region represented by the given constraints 2x+3y≥12,−x+y≤3,x≤4,y≥32x+ 3y\geq 12, -x+y\leq 3,x\leq 4,y\geq 3 is

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  4. Question 4

    Differential Equations. Asked once: 11 May 2023 S2 (same type asked 8 times) See all 8 of this type

    108
    Let y=y(x)y=y(x) be the solution of the differential equation xdydx+y=xlog⁡x, (x>1)x\frac{dy}{dx}+y = x\log x,\ (x>1). If 2(y(2))=log⁡4−12(y(2)) = \log 4-1 then the value of y(e)y(e) is

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  5. Question 5

    Mathematical Logic. Asked once: 20 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    65
    The negation of the inverse of the statement ∼p∨∼q\sim p \vee \sim q is...

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