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Day 209: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 9 May 2024 S1 (same type asked 4 times) See all 4 of this type

    138
    lim⁡x→π/2cot⁡x−cos⁡x(π−2x)3\lim_{x\to\pi/2}\frac{\cot x-\cos x}{(\pi-2x)^3} equals

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  2. Question 2

    Linear Programming. Asked once: 14 May 2026 S1 (same type asked 4 times) See all 4 of this type

    97
    The minimum value of z=5x+8yz = 5x + 8y subject to the constraints 0≤x≤4,0≤y≤2,x+y≥50 \le x \le 4, 0 \le y \le 2, x + y \ge 5 is

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  3. Question 3

    Straight Line. Asked once: 11 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    56
    The equation of a line passing through the point of the intersection of the lines x−y+1=0x - y + 1 = 0 and 2x+3y−8=02x + 3y - 8 = 0 and having x intercept 33 is

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  4. Question 4

    Trigonometric Functions. Asked once: 19 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    150
    In a triangle ABC , with usual notations, if b+c11=c+a12=a+b13\frac{b + c}{11}=\frac{c + a}{12}=\frac{a + b}{13} Then cos⁡A:cos⁡B:cos⁡C\cos A:\cos B:\cos C is

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  5. Question 5

    Applications of Definite Integral. Asked once: 22 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    126
    The area bounded by the curve x=2−y−y2x= 2 -y-y^{2} and the Y -axis is

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