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Two curves touch each other if the angle between the tangents to the curves at the point of intersection is 0o, in which case we will have, tan?1 = tan?2. how is that possible? give an example?

Two curves touch each other if the angle between the tangents to the curves at the point of intersection is 0o, in which case we will have,

tan?1 = tan?2.
how is that possible? give an example?

Grade:12th Pass

1 Answers

Chetan Mandayam Nayakar
312 Points
12 years ago

let f(x) and g(x) be the two curves. At the point of contact df(x)/dx =dg(x)/dx, example consider the curves f(x)=y=x2 and     g(x) =y=-x2, at the point x=y=zero f'(x)=2x = g'(x)=-2x =0,and the common tangent is the x-axis

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