Which of the following pair(s) of curve is/are orthogonal?

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

Problem

Which of the following pair(s) of curve is/are orthogonal? (a) y2=4axy^2 = 4ax; y=e−x/2ay = e^{-x/2a} (b) y2=4axy^2 = 4ax; x2=4ayx^2 = 4ay at (0,0)(0,0) (c) xy=a2xy = a^2; x2−y2=b2x^2 - y^2 = b^2 (d) y=axy = ax; x2+y2=c2x^2 + y^2 = c^2

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