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The straight lines x+2y-9=0,3x+5y-5=0 , ...

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)` (c)`(-a ,-b)` (d) none of these

A

(a,b)

B

(b,a)

C

(-a,-b)

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
The three lines are concurrent if
`|{:(1,2,-9),(3,5,-5),(a,b,-1):}|=0`
or 35a-22b+1 = 0
which is true is the line 35x-22y+1=0 passes through (a,b).
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