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Day 348: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 23 Apr 2025 S1 (same type asked 5 times) See all 5 of this type

    150
    The equation of the plane containing the line x+12=y+21=z−23\frac{x+ 1}{2}=\frac{y+ 2}{1}=\frac{z- 2}{3} and the point (1,−1,3)(1, - 1,3) is

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  2. Question 2

    Linear Programming. Asked once: 13 Apr 2026 S2 (same type asked 5 times) See all 5 of this type

    97
    The difference between the maximum value and minimum value of the objective function z=3x+5yz = 3x + 5y of a linear programming problem subject to constraints 5x+10y≤50,x+y≥1,y≤45x + 10y \le 50, x + y \ge 1, y \le 4 and x≥0,y≥0x \ge 0, y \ge 0 is 3λ3\lambda. Then the value of λ\lambda is

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  3. Question 3

    Trigonometric Functions. Asked once: 22 Apr 2025 S2 (same type asked 5 times) See all 5 of this type

    108
    In a triangle ABC with usual notations if, cot⁡A2=b+ca\cot\frac{A}{2}=\frac{b + c}{a}, then the triangle ABCABC is

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  4. Question 4

    Indefinite Integration. Asked once: 15 May 2023 S1 (same type asked 5 times) See all 5 of this type

    103
    The value of ∫dx7+6x−x2\int \frac{dx}{7+6x-x^{2}} is equal to

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  5. Question 5

    Trigonometric Functions. Asked once: 9 May 2023 S1 (same type asked 5 times) See all 5 of this type

    114
    The sides of a triangle are sin⁡θ\sin\theta, cos⁡θ\cos\theta and 1+sin⁡θcos⁡θ\sqrt{1+\sin\theta\cos\theta} for some 0<θ<π20<\theta<\frac{\pi}{2}, then the greatest angle of a triangle is

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