Home Maths Straight Line Mix Line ax + by + c = 0 passes a fixed point if…
Maths Straight Line Mix Single Correct MCQ
Published on: August 13, 2026

Line ax + by + c = 0 passes a fixed point if a, b & c are 2nd, 4th & 8th term of an A.P. then point is:

A
(1, 1)
B
(2, 3)
C
(3, 2)
D
(2, –3)

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Text Solution

Verified by Experts
The correct answer is:
D

Let first term = A & common difference = D

⇒ a = A + D, b = A + 3D, c = A + 7D

⇒ b – a = 2D & c – b = 4D

⇒ 2(b – a) = c – b

⇒ –2a + 3b – c = 0

⇒ 2a – 3b + c = 0

Fixed point (2, – 3)

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