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JEE Advanced Mix Test 10

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JEE Advanced Mix Test 10
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  • Question 2
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    Compute the area of the figure bounded by straight lines x = 0, x = 2 and the curves y = 2x and y = 2x – x2 is

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    If f(x) = ae2x + bex + cx satisfies the conditions f(0) = – 1, f'(ln 2) = 31,

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  • Question 8
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    STATEMENT-1 : The area bounded by the curve |x| + |y| = a (a > 0) is 2a2 and area bounded |px + qy| + |qx – py| = a, where p2 + q2 = 1, is also 2a2.

    STATEMENT-2 : Since αx + βy = 0 is perpendicular to βx – αy = 0, we can take one as x-axis and another as y-axis and therefore the area bounded by |αx + βy| + |βx – αy| = a is 2a2 for all α, β€ R, α 0, β 0.

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  • Question 9
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  • Question 10
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    Consider the function defined implicitly by the equation

    The area of the region bounded by the curve & the line x = – 1 is

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