Published by:
CGP EDU Academic Team
Published on: August 13, 2026
If the algebraic sum of distances of points (2,1), (3,2) and (–4, 7) from the line y = mx + c is zero, then this line will always pass through a fixed point whose co-ordinate is–
A
(1, 3)
B
(1, 10)
C
(1, 6)
D
Text Solution
Verified by ExpertsThe correct answer is:
D
P 1 + P 2 + P 3 = 0
+ 
+ 
= 0
2m + 3m – 4m – 1 – 2 – 7 + 3c = 0
m – 10 + 3c = 0 mx – y + c = 0
= 
= 
x = 1/3, y = 10/3
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