Find the point on the curve at which the tangents are parallel to the y – axis.

Question

Philoid · Accepted Answer

Since, the tangent is parallel to y – axis, its The Slope is not defined, then the normal is parallel to x – axis whose The Slope is zero.

i.e, = 0

⇒ = 0

⇒ y = 0

Substituting y = 0 in = 1,

= 1

⇒ x² = 4

⇒ x = ±2

Thus, the required point is (2,0) & ( – 2,0)