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Day 506: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 11 May 2023 S2

    121
    Let A, B and C be three events, which are pairwise independent and E denote the complement of an event E. If P(A∩B∩C)=0P(A\cap B\cap C)=0 and P(C)>0P(C)>0, then P(A‾∩B‾/C)P\left(\overline{A}\cap\overline{B}/C\right) is equal to

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  2. Question 2

    Trigonometric Functions. Asked once: 26 Apr 2025 S1

    109
    If sin⁡−1(4x)+sin⁡−1(43x)=−π2\sin^{- 1}(4x) +\sin^{- 1}(4\sqrt{3}x) = -\frac{\pi}{2}, then the value of xx is

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  3. Question 3

    Trigonometry - II. Asked once: 11 May 2023 S1

    143
    cos⁡3π8cos⁡3π8+sin⁡3π8sin⁡3π8=\cos^3\frac{\pi}{8}\cos\frac{3\pi}{8} + \sin^3\frac{\pi}{8}\sin\frac{3\pi}{8} =

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  4. Question 4

    Vectors. Asked once: 17 Apr 2026 S1

    90
    Let a⃗=2i^−3j^+k^, b⃗=3i^+2j^+2k^, c⃗=4i^−3j^+k^\vec{a} = 2\hat{i} - 3\hat{j} + \hat{k},\ \vec{b} = 3\hat{i} + 2\hat{j} + 2\hat{k},\ \vec{c} = 4\hat{i} - 3\hat{j} + \hat{k}, then the vectors a⃗, b⃗, c⃗\vec{a},\ \vec{b},\ \vec{c} are

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  5. Question 5

    Applications of Derivative. Asked once: 19 Apr 2025 S2

    103
    The position of a point in time tt is given by x=a+bt−ct2,y=at+bt2x= a + bt -ct^{2},y= at +bt^{2}. It's resultant acceleration at time tt in seconds is given by

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