y=x2 is the given curve. Imagine that this curve is dragged along the positive X-axis to a distance of ' a ' units. If the acute angle between the curves at two positions is θ then
Given, curve is y=x2 If the curve is dragged along the positive X-axis to a distance of ' a ' units, then new curve will be y=(x−a)2 So, point of intersection x2=(x−a)2 ⇒‌‌x−a=±x⇒x=‌