Q17 of 149 Page 16

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

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)

At what points on the curve y = x² – 4x + 5 is the tangent perpendicular to the line 2y + x = 7?

Find the point on the curve at which the tangents are parallel to the

x – axis

Find the point on the curve x² + y² – 2x – 3 = 0 at which the tangents are parallel to the x – axis

Find the point on the curve x² + y² – 2x – 3 = 0 at which the tangents are parallel to the y – axis.