If a, b, c are in A.P., then the line ax + by + c = 0 passes through a fixed point. Write the coordinates of that point.
Given:
a, b, c are in A.P.
To find:
The coordinates of that point.
Explanation:
If a, b, c are in A.P., then
a + c = 2b
⇒ a – 2b + c = 0
Comparing the coefficient of ax + by + c = 0 and a – 2b + c = 0, we get x = 1 and y = -2
Hence, the coordinate of that point is (1, -2).