PYQ Vault

Day 62: MHT-CET Maths

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

  1. Question 1

    Vectors. This type asked 4 times: 2 May 2023 S2, 11 May 2023 S1, 12 May 2024 S1, 11 Apr 2026 S1. This one: 11 Apr 2026 S1 See all 4 of this type

    91
    Let A(2,3,0),B(0,3,2)A(2, 3, 0), B(0, 3, 2) and C(4,0,3)C(4, 0, 3) be vertices of a triangle, then the area of the triangle is

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  2. Question 2

    Applications of Derivative. This type asked 4 times: 2 May 2023 S1, 4 May 2023 S2, 26 Apr 2025 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 4 of this type

    150
    The equation of the tangent to the curve y=be−x/ay=be^{-x/a} at the point where it crosses the Y axis is

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  3. Question 3

    Trigonometric Functions. This type asked 4 times: 3 May 2023 S1, 9 May 2024 S1, 22 Apr 2025 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 4 of this type

    148
    If 0≤x≤π0 \leq x\leq\pi and 81sin⁡2x+81cos⁡2x=3081^{\sin^{2}x}+81^{\cos^{2}x}= 30 Then xx takes the value

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  4. Question 4

    Vectors. This type asked 4 times: 10 May 2023 S2, 11 May 2023 S2, 11 May 2024 S2, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 4 of this type

    144
    The unit vectors perpendicular to the plane determined by the points A(1,−1,2),B(2,0,−1)A(1, - 1,2),B(2,0, - 1), C(0,2,1)C(0,2,1) is

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  5. Question 5

    Vectors. This type asked 4 times: 2 May 2023 S1, 21 Apr 2025 S2, 25 Apr 2025 S2, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 4 of this type

    134
    The values of xx for which the angle between the vectors a‾=2x2i^+4xj^+k^\overline{a}= 2x^{2}\widehat{i}+ 4x\widehat{j}+\widehat{k} and b‾=7i^−2j^+xk^\overline{b}= 7\widehat{i}- 2\widehat{j}+x\widehat{k} is obtuse, are

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