Q. 17 B5.0( 1 Vote )

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

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

⇒ = 0

⇒ y = 0

Substituting y = 0 in = 1,

= 1

⇒ x^{2} = 4

⇒ x = ±2

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

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Find the equation of tangent to the curve , at the point, where it cuts the x-axis.

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