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A line passes through the point (2,2) an...

A line passes through the point `(2,2)` and is perpendicular to the line `3x + y =3,` then its `y`-intercept is

A

2

B

`5/3`

C

`4/3`

D

`3/4`

Text Solution

Verified by Experts

The correct Answer is:
C
Let the perpendicular to theline `3x+y=3` be `3y-x=lamda`.
Also it passes through (2,2).
`:.6-2=lamdaimplieslamda=4`
Now `3y-x=4impliesy/4-x/4=1`
Hence `y-` intercept is `4/3`
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