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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

More than one may match with the same. Column I: (i) (ii) The area bounded by and is (iii) Cosine of the angle of intersection of curves and is (iv) is equal to Column II: (a) (b) (c) (d)

Answer: (4)

Solution

**(i)** Let , so . Differentiating,

Missing argument for \frac\frac1y = - x x + x· = x x - ( .

So the integrand is exactly , and

I = = -

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Question ID VK-110532