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Day 195: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 11 May 2024 S1 (same type asked 6 times) See all 6 of this type

    114
    If the volume of the parallelepiped is 158 cu. units whose coterminous edges are given by the vectors a⃗=(i^+j^+nk^)\vec{a} = (\hat{i}+\hat{j}+n\hat{k}), b⃗=2i^+4j^−nk^\vec{b} = 2\hat{i}+4\hat{j}-n\hat{k} and c⃗=i^+nj^+3k^\vec{c} = \hat{i}+n\hat{j}+3\hat{k}, where n≥0n \geq 0, then the value of n is

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  2. Question 2

    Applications of Derivative. Asked once: 16 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    76
    The equation of tangent to the curves x=1−3t2x = 1 - 3t^2 and y=t−3t3y = t - 3t^3 at the point (−2,2)(-2, 2) is...

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  3. Question 3

    Mathematical Logic. Asked once: 14 May 2024 S1 (same type asked 6 times) See all 6 of this type

    113
    The negation of the statement "The number is an odd number if and only if it is divisible by 3."

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  4. Question 4

    Trigonometric Functions. Asked once: 13 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    69
    The value of tan⁡−1(3)+sec⁡−1(−2)−sin⁡−1(−12)\tan^{-1}(\sqrt{3}) + \sec^{-1}(-2) - \sin^{-1}\left(-\dfrac{1}{2}\right) is

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  5. Question 5

    Trigonometric Functions. Asked once: 12 May 2024 S1 (same type asked 6 times) See all 6 of this type

    115
    If x=cosec(tan⁡−1(cos⁡(cot⁡−1(sec⁡(sin⁡−1a)))))x=\text{cosec}\left(\tan^{-1}\left(\cos\left(\cot^{-1}\left(\sec\left(\sin^{-1}a\right)\right)\right)\right)\right), a∈[0,1]a\in[0,1]

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