Q. 285.0( 1 Vote )

# The normal at the point (1, 1) on the curve 2y + x^{2} = 3 is

A. x + y = 0

B. x – y = 0

C. x + y + 1 = 0

D. x – y = 1

Answer :

Given that the curve 2y + x^{2} = 3 has a normal passing through point (1, 1).

Differentiating both the sides w.r.t. x,

Slope of the tangent

For (1, 1):

Equation of the normal:

⇒ y – 1 = x - 1

⇒ y - x = 0

⇒ x – y = 0

Hence, option B is correct.

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