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Day 445: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 15 May 2026 S1

    66
    The solutions of the equation sin⁡[2cos⁡−1{cot⁡(2tan⁡−1x)}]=0\sin[2\cos^{-1}\{\cot(2\tan^{-1}x)\}] = 0 are

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  2. Question 2

    Trigonometry - II. Asked once: 17 Apr 2026 S2

    51
    If tan⁡A\tan A and tan⁡B\tan B are the roots of the equation 5x2−4x+1=05x^2 - 4x + 1 = 0, then the value of A+BA + B is...

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  3. Question 3

    Vectors. Asked once: 15 May 2026 S1

    89
    If the scalar products of a vector aˉ=xi^+yj^+zk^\bar{a} = x\hat{i} + y\hat{j} + z\hat{k} with 2i^+j^+k^2\hat{i} + \hat{j} + \hat{k}, i^−j^+k^\hat{i} - \hat{j} + \hat{k}, i^+2j^+3k^\hat{i} + 2\hat{j} + 3\hat{k} are 5,3,5, 3, and 55 respectively, then x+y+z=…x + y + z = \ldots

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  4. Question 4

    Applications of Definite Integral. Asked once: 11 Apr 2026 S1

    83
    The area of the shaded region is ... sq.units.

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  5. Question 5

    Applications of Derivative. Asked once: 13 May 2026 S1

    56
    The minimum value of e2x+e−2xe^{2x} + e^{-2x} is .......

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