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Q. The fix point through which the line $x(a+2 b)+y(a+3 b)=a+b$ always passes for all values of $a$ and $b$, is-

Straight Lines

Solution:

$x(a+2 b)+y(a+3 b)=a+b$
$a(x+y)+b(2 x+3 y)=a+b$
$x+y=1$ and $2 x+3 y=1$
$P \equiv(2,-1)$