Maths
General
Easy
Question
the straight lines x and passes through the point

 (b, a)
 (‐a, b)
 (‐a, ‐b)
Hint:
The correct answer is: (b, a)
We should find through which point all the three lines pass through in common
$x+2y−9=0.....(i)$
$3x+5y−5=0....(ii)$
$ax+by−1=0......(iii)$
Intersection of $(i)$ and $(ii)$ is $y=22$ and $x=−2(22)+9=−35$
Putting this point in $ax+by−1=0$, we get $35a−22b+1=0$
For the three lines to be concurrent $35x−22y+1=0$ should pass through $(b,a)$
$ax+by−1=0......(iii)$
Intersection of $(i)$ and $(ii)$ is $y=22$ and $x=−2(22)+9=−35$
Putting this point in $ax+by−1=0$, we get $35a−22b+1=0$
For the three lines to be concurrent $35x−22y+1=0$ should pass through $(b,a)$
Putting this point in $ax+by−1=0$, we get $35a−22b+1=0$
For the three lines to be concurrent $35x−22y+1=0$ should pass through $(b,a)$
Hence (b,a) is correct option
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