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Day 489: MHT-CET Maths

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

  1. Question 1

    Trigonometry - II. Asked once: 21 Apr 2025 S1

    149
    3tan⁡610∘−27tan⁡410∘+33tan⁡210∘=3\tan^{6}10^{\circ}- 27\tan^{4}10^{\circ}+ 33\tan^{2}10^{\circ}=

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  2. Question 2

    Vectors. Asked once: 20 Apr 2026 S2

    91
    The volume of the parallelopiped whose coterminous edges are 2i^+j^−k^,3i^−j^−k^,j^+3k^2\hat{i} + \hat{j} - \hat{k}, 3\hat{i} - \hat{j} - \hat{k}, \hat{j} + 3\hat{k} is

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  3. Question 3

    Applications of Derivative. Asked once: 26 Apr 2025 S2

    103
    If xx and yy are sides of two squares such that y=x−x2y=x-x^{2}, then the rate of change of area of the second square with respect to that of the first square is

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  4. Question 4

    Conic Sections. Asked once: 22 Apr 2025 S2

    121
    The foci of a hyperbola coincide with the foci of the ellipse x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}= 1. The equation of the hyperbola with eccentricity 2 is

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  5. Question 5

    Definite Integration. Asked once: 22 Apr 2025 S2

    119
    ∫0π4(tan⁡x+cot⁡x)dx=\int_{0}^{\frac{\pi}{4}} (\sqrt{\tan x}+\sqrt{\cot x})dx =

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