The straight lines `x+2y-9=0,3x+5y-5=0` , and `a x+b y-1=0` are concurrent, if the straight line `35 x-22 y+1=0` passes through the point (a).`(a , b)` (b) `(b ,a)` `(-a ,-b)` (d) none of these

Options

A. (a,b)
B. `(b,c)`
C. `(a,b)`
D. `(-a,b)`

Answer

A

Explanation

The three lines of are concurrent if
`|{:(,1,2,-9),(,3,5,-5),(,a,b,-1):}|`
`rArr 35a - 22b + 1 = 0 rArr 35x - 22y + 1=0` passes through (a,b)