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Show that the straight lines given by (a+2b)x+(a+3b)y=a+b for different values of a and b pass through a fixed point (2,-1).

Show that the straight  lines given by (a+2b)x+(a+3b)y=a+b for different values of a and b pass through a fixed point (2,-1).

Grade:10

1 Answers

Arun
25758 Points
4 years ago
Dear Sanjana
 
Put the value of (x, y) as (2, -1) in the equation,
You will get LHS as (a+b), whichbis equal to the RHS
Hence it is proved that this line pass through a fixed point (2, -1) for different value of a and b.
 
Regards
Arun (askIITians forum expert)

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