Question

If a, b, c are in A.P., then the straight line ax + by + c = 0 always passes through the fixed point-

• A. (2, –1)
• B. (1, 1)
• C. (1, –2)
• D. $\left( \frac { - 1 } { 3 } , \frac { 2 } { 3 } \right)$

Answer 1

Answer: (C)

(1, –2)

Answer 2

We have b =

Then equation of the given line reduces to

ax + y + c = 0

i.e. a $\left( x + \frac { y } { 2 } \right)$+ c $\left( \frac { y } { 2 } + 1 \right)$ = 0

which passes through the fixed point (1, –2).