Question

If $a,b,c$ are in A.P., then the straight line $ax+2by+c=0$ will always pass through a fixed point whose co-ordinates are

• A. (1, -1)
• B. (-1, 1)
• C. (1, -2)
• D. (-2, 1)

Answer 1

Answer: (A)

(1, -1)

Given: a, b, c are in A.P.

$\therefore 2b=a+c$

$\Rightarrow a-2b+c=0$ .....eq(1)

$\Rightarrow ax+2by+c=0$ .....eq(2)

Comparing eq(1) and eq(2):

we get, $(x,y)=(1,-1)$