First slide

Equation of line in Straight lines

Question

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

Moderate

A

(–1, –2)
B

(1, 2)
C

(–1, 2)
D

(1, –2)

Solution

Since a, b, c are in A.P., $∴$ 2b = a + c
or a – 2b + c = 0
⇒ The line ax + by + c = 0 passes through the point
(1, –2).

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