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The normal at the point (1,1) on the cur...

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 = 0`

A

x+y=0

B

x-y= 0

C

x+y+1=0

D

x-y=1

Text Solution

Verified by Experts

The correct Answer is:
B
Given curve,
` 2y+x^(2)=3`
` rArr 2(dy)/(dx) + 2x - 0 rArr (dy)/(dx) - " "-x`
`:. ` slope of tangent at point (1, 1) =- 1
` rArr" slope of normal at "(1, 1) = (-1)/(((dy)/(dx))_(1, 1)) = (-1)/(-1) = 1`
` :. " equation of normal at "(1, 1) y-1=1*(x-1)`
` rArr x-y=0`
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