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Day 193: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 20 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    67
    If 2sin⁡−1x−3cos⁡−1x=42\sin^{-1}x - 3\cos^{-1}x = 4, then 2sin⁡−1x+3cos⁡−1x=2\sin^{-1}x + 3\cos^{-1}x =

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  2. Question 2

    Vectors. Asked once: 15 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    90
    Let ABCD be a quadrilateral with AB‾=a⃗,AD‾=b⃗\overline{AB} = \vec{a}, \overline{AD} = \vec{b} and AC‾=3a⃗+2b⃗\overline{AC} = 3\vec{a} + 2\vec{b}. If its area is α\alpha times the area of the parallelogram with AB, AD as adjacent sides, then the value of α\alpha is equal to

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  3. Question 3

    Limits. Asked once: 11 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    59
    The value of lim⁡x→3[x]−3x−3\lim_{x \to 3}\dfrac{[x] - 3}{x - 3}, where [⋅][\cdot] denotes the greatest integer function, is.....

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  4. Question 4

    Trigonometric Functions. Asked once: 15 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    64
    In △ABC\triangle ABC with usual notations, if 1+tan⁡(A2)tan⁡(B2)=ks1 + \tan\left(\dfrac{A}{2}\right)\tan\left(\dfrac{B}{2}\right) = \dfrac{k}{s} (where ss is the semi-perimeter), then the value of kk is...

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  5. Question 5

    Determinants and Matrices. Asked once: 16 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    64
    Inverse of [3−214]\begin{bmatrix} 3 & -2 \\ 1 & 4 \end{bmatrix} is

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