Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The equation of perpendicular bisectors of the sides AB and AC of a triangle ABC are 
and 
respectively. If the point A is 
, then the equation of line BC is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Let the equation of perpendicular bisector FN of AB is 
......(i)
The middle point F of AB is 
lies on line (i). Therefore 
…..(ii)
Also AB is perpendicular to FN . So the product of their slopes is –1.
i.e. 
or 
……(iii)
On solving (ii) and (iii), we get 
.
Similarly 
.
Hence the equation of BC is 
.
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