Prove thatthe curves x = y2 and xy = k cut atright angles if 8k2 = 1. – InterviewSolution

1.	Prove thatthe curves x = y2 and xy = k cut atright angles if 8k2 = 1. [Hint: Twocurves intersect at right angle if the tangents to the curves at thepoint of intersection are perpendicular to each other.]
Answer» Prove that the curves x = y² and xy = k cut at right angles if 8k² = 1. [Hint: Two curves intersect at right angle if the tangents to the curves at the point of intersection are perpendicular to each other.]

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