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Day 294: MHT-CET Maths

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

  1. Question 1

    Definite Integration. Asked once: 16 May 2023 S1 (same type asked 5 times) See all 5 of this type

    122
    The value of ∫−π/2π/2sin⁡2x1+2x dx\int_{-\pi/2}^{\pi/2} \frac{\sin^2 x}{1+2^x}\,dx is

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  2. Question 2

    Linear Programming. Asked once: 15 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    97
    The difference between the maximum and minimum values of the objective function Z=3x+5yZ = 3x + 5y, subject to the constraints x+3y≤60,x+y≥10,x−y≤0,x,y≥0x + 3y \le 60, x + y \ge 10, x - y \le 0, x, y \ge 0 is

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  3. Question 3

    Trigonometric Functions. Asked once: 23 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    103
    In △ABC\bigtriangleup ABC, with usual notations, if cos⁡B2=c+a2a\cos\frac{B}{2}=\sqrt{\frac{c+a}{2a}}, then a2=a^{2}=

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  4. Question 4

    Applications of Definite Integral. Asked once: 10 May 2024 S1 (same type asked 5 times) See all 5 of this type

    120
    Area of region bounded by y=49−x2y=\sqrt{49-x^2} and X-axis is

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  5. Question 5

    Indefinite Integration. Asked once: 10 May 2024 S1 (same type asked 5 times) See all 5 of this type

    145
    ∫dx7−6x−x2=\int\frac{dx}{7-6x-x^2}=

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