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).


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