PYQ Vault

Day 351: MHT-CET Maths

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

  1. Question 1

    Linear Programming. Asked once: 15 Apr 2026 S1 (same type asked 4 times) See all 4 of this type

    97
    The minimum value of Z=3x+yZ = 3x + y, subject to the constraints 2x+3y≤6,x+y≥1,x≥0,y≥02x + 3y \le 6, x + y \ge 1, x \ge 0, y \ge 0 is....

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  2. Question 2

    Trigonometric Functions. Asked once: 9 May 2024 S2 (same type asked 4 times) See all 4 of this type

    106
    Let a,b,ca, b, c be the lengths of sides of triangle ABC such that a+b7=b+c8=c+a9=k\frac{a+b}{7} = \frac{b+c}{8} = \frac{c+a}{9} = k. Then (A(△ABC))2k4=\dfrac{(A(\triangle ABC))^2}{k^4} =

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  3. Question 3

    Trigonometric Functions. Asked once: 11 May 2023 S1 (same type asked 4 times) See all 4 of this type

    135
    If angle θ\theta in [0,2π][0, 2\pi] satisfies both the equations cot⁡θ=3\cot\theta = \sqrt{3} and 3sec⁡θ+2=0\sqrt{3}\sec\theta + 2 = 0, then θ\theta is equal to

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  4. Question 4

    Mathematical Logic. Asked once: 22 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    136
    If p : switch S1S_{1} is closed, q: switch S2S_{2} is closed, r : switch S3S_{3} closed, then the symbolic form of the following switching circuit is equivalent to Switching Circuit:

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  5. Question 5

    Pair of Straight Lines. Asked once: 9 May 2023 S1 (same type asked 4 times) See all 4 of this type

    143
    If an equation hxy+gx+fy+c=0hxy+gx+fy+c=0 represents a pair of lines, then

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