The curve is given parametrically by and

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

The curve is given parametrically by x=t2+1x=t^{2}+1 and y=2t−1y=2t-1. Determine the equation of the normal line to the curve at the parameter value t=2t=2. (a) y=−2x+7y=-2x+7 (b) y=−2x+13y=-2x+13 (c) y=12x+12y=\dfrac{1}{2}x+\dfrac12 (d) y=2x−7y=2x-7

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