The distance from the origin, of the normal to the curve, x = 2 t + 2t t, y = 2 t - 2t t at t = 4, is :

JEE Main 2015 Mathematics question

The distance from the origin, of the normal to the curve, , at , is :

Answer: (4)

Differentiate with respect to : and . Hence , so at the tangent slope is 1 and the normal slope is . The point of contact is $ = 2·1{2} +

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Question ID VK-115305