Question
Question: Line ax + by + c = 0 passes a fixed point if a, b & c are 2nd, 4th & 8th term of an A.P. then point ...
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)
Answer
(2, –3)
Explanation
Solution
Let first term = A & common difference = D
Ž a = A + D, b = A + 3D, c = A + 7D
Ž b – a = 2D & c – b = 4D
Ž 2(b – a) = c – b
Ž –2a + 3b – c = 0
Ž 2a – 3b + c = 0
Fixed point (2, – 3)