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  4. If the midpoint of the section of the straight line intercepted between the axes is (1, 1), then the equation of the line is

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Q. If the midpoint of the section of the straight line intercepted between the axes is $(1, 1)$, then the equation of the line is

COMEDKCOMEDK 2011Straight Lines

Solution:

It is given that (1, 1) is the midpoint of line AB.
$\Rightarrow 1 = \frac{a+0}{2} , 1= \frac{0+b}{2}$
$ \Rightarrow a = 2 $ and $b = 2 $
Equation of line $AB$ is
$\frac{x}{2} + \frac{y}{2} = 1$
$ \Rightarrow x + y = 2$

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