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  4. If a line with y-intercept 2, is perpendicular to the line 3x-2y=6, then its x- intercept is

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Q. If a line with $y$-intercept $2$, is perpendicular to the line $ 3x-2y=6, $ then its $ x- $ intercept is

KEAMKEAM 2008Straight Lines

Solution:

Let the equation of perpendicular line to the line
$ 3x-2y=6 $ is $ 3y+2x=c $
Since, it passes through (0, 2)
$ \therefore $ $ 6=c $
$ \therefore $ $ 3y+2x=6 $
$ \Rightarrow $ $ \frac{x}{3}+\frac{y}{2}=1 $
Hence, $ x- $ intercept is 3.