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Day 271: MHT-CET Maths

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

  1. Question 1

    Linear Programming. Asked once: 20 Apr 2026 S2 (same type asked 9 times) See all 9 of this type

    97
    The LPP maximize z=2x+5yz = 2x + 5y subject to x+3y≤6,2x+6y≤18,x≥0,y≥0x + 3y \le 6, 2x + 6y \le 18, x \ge 0, y \ge 0 has

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  2. Question 2

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

    53
    In a right-angled △ABC\triangle ABC, the measures of the angles are in an Arithmetic Progression (A.P.) If its smallest side is 44 units, then the area of △ABC\triangle ABC is.....

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  3. Question 3

    Differentiation. Asked once: 13 May 2026 S2 (same type asked 9 times) See all 9 of this type

    72
    If y=2x+(sin⁡x)xy = 2^x + (\sin x)^x, then dydx=\dfrac{dy}{dx} =

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  4. Question 4

    Applications of Derivative. Asked once: 15 Apr 2026 S1 (same type asked 9 times) See all 9 of this type

    74
    If the function f(x)=ax3−bx2−8x−4f(x) = ax^3 - bx^2 - 8x - 4 satisfies Roll's theorem in [1,3][1, 3], if f′(2)=0f'(2) = 0 then a−ba - b is equal to...

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  5. Question 5

    Applications of Derivative. Asked once: 19 Apr 2025 S1 (same type asked 9 times) See all 9 of this type

    141
    In the mean value theorem, f′(c)=f(b)−f(a)b−af^{'}(c) =\frac{f(b) -f(a)}{b-a}, if a=0, b=12a = 0,\text{ }b =\frac{1}{2} and f(x)=x(x−1)(x−2)f(x) =x(x- 1)(x- 2), then the value of cc is

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