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Day 330: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 23 Apr 2025 S1 (same type asked 9 times) See all 9 of this type

    124
    With usual notations, in △ABC\bigtriangleup ABC, the lengths of two sides are 10 cm and 9 cm respectively. If angles A,B,CA,B,C are in A.P. then perimeter of △ABC\bigtriangleup ABC is

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  2. Question 2

    Differentiation. Asked once: 20 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    72
    If y=(x2+1)sin⁡xy = (x^2 + 1)^{\sin x} for x>0x > 0 such that dydx=y[2xsin⁡xg(x)+cos⁡x⋅log⁡[g(x)]]\dfrac{dy}{dx} = y\left[\dfrac{2x\sin x}{g(x)} + \cos x \cdot \log[g(x)]\right], then the function 1g(x)\dfrac{1}{g(x)} is...

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  3. Question 3

    Applications of Derivative. Asked once: 25 Apr 2025 S2 (same type asked 9 times) See all 9 of this type

    142
    The function f(x)=x3−6x2+ax+bf(x) =x^{3}- 6x^{2}+ax+b satisfies the conditions of Rolle's theorem in [1,3]. Then the values of aa and bb are respectively

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  4. Question 4

    Applications of Derivative. Asked once: 13 May 2024 S2 (same type asked 9 times) See all 9 of this type

    123
    A(1,-3), B(4,3) are two points on the curve y=x−4xy=x-\frac{4}{x}. The points on the curve, the tangents at which are parallel to the chord AB, are

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  5. Question 5

    Mathematical Logic. Asked once: 13 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    61
    Consider the statement patterns A. (q→p)∨(p→q)(q \to p) \vee (p \to q) B. (∼p∨∼q)↔∼(p∧q)(\sim p \vee \sim q) \leftrightarrow \sim(p \wedge q) C. [(p∨q)∧∼p]∧∼q[(p \vee q) \wedge \sim p] \wedge \sim q D. (p∧q)∧(∼p∨∼q)(p \wedge q) \wedge (\sim p \vee \sim q) then statement patterns

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