If a, b, c are in A.P., then the line ax + by + c = 0 passes through a – InterviewSolution

InterviewSolution

1.

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.

Answer»

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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