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JEE Main 2016 Mathematics question

MathematicsApplication of DerivativesJEE Main 2016

The minimum distance of a point on the curve from the origin is

Answer: (1)

Solution

For a point on the curve, the squared distance from the origin is

= + - = - + 16.

It is easier to minimise than , and easier still to substitute :

h(u) = - 7u + 16 = (u-Missing argument for \frac\frac

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Question ID VK-115575