Consider the curve

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Consider the curve x=4t1+t2,  y=1−t21+t2x=\dfrac{4t}{1+t^{2}},\;y=\dfrac{1-t^{2}}{1+t^{2}}. Which one of the following lines is tangent to the curve at the point corresponding to t=1t=1? (a) x+2y=2x+2y = 2 (b) x=2x=2 (c) y=0y=0 (d) x+y=2x+y = 2

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