1.

A line passes through the point `(2,2)` and is perpendicular to the line `3x + y =3,` then its `y`-intercept isA. `3/4`B. `4/3`C. `1/3`D. 3

Answer» Correct Answer - B
A line passes through (2, 2) and is perpendicular to the line `3x+y=3`
Slope of line `3x+y=3` is `-3`
Slope of line which passes through (2, 2) is `1/3`
`:.` Equation of line passes through (2, 2) and having slope `(1/3)` is
`(y-2)=1/3 (x-2)`
`:. 3y-6=x-2`
`:. x-3y+4=0`
In oder to find y-intercept of the line
Put `x=0` in `x-3y+4=0`
`:. -3y=-4`
`:. y=4/3`
`:.` Option (b) is correct.


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