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JEE Advanced Mathematics question

MathematicsApplication of DerivativesJEE Advanced

The point is nearest to the curve at

Answer: (C)

Solution

For a point on the curve, (so ), and

= (x- + (y- = 2y + - 6y + 9 = - 4y + 9 = (y- + 5.

This is least at , i.e. , $x =

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Question ID VK-109412