GATE CE 2016 Set 2 — Question 38
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Engineering Mathematics → Calculus → Differentiability
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Question
The angle of intersection of the curves and at point is
Correct answer
(D) 90^o
Solution
To find the angle of intersection of two curves at a point, we find the slopes of the tangents to the curves at that point.Curve 1: . Differentiating with respect to : . At , the slope .Curve 2: . Differentiating with respect to : . Thus, . At , the slope .Since one tangent is horizontal () and the other is vertical (), the angle of intersection is .
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