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A straight line perpendicular to the lin...

A straight line perpendicular to the line 2x +y =3 is passing through (1,1) lts -intercept is

A

1

B

2

C

3

D

`1/2`

Text Solution

Verified by Experts

The correct Answer is:
D

A striaght line perpendicular to 2x + y =3 is
2 y - x +c=0
Since , it passes though (1,1)
2 (1) -1 + c =0
` Rightarrow c = -1 `
On putting c = -1 in Eq. (i) ,we get
2y -x-1 = 0
` Rightarrow 2y -x =1`
`y/(1//2) -x/1=1 `
So , the y - intercept is `1/2`
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