Published by:
CGP EDU Academic Team
Published on: August 13, 2026
A line 
passes through the point 
meets the line BC whose equation is 
at the point B . The equation to the line AC so that AB = AC , is
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
A
Slopes of 
and BC are – 4 and 
respectively. If 
be the angle between 
and 
, then 
.....(i)
Since 
Thus the line AC also makes an angle 
with BC . If m be the slope of the line AC , then its equation is 
.....(ii)
Now 
⇒ ⇒ 
or – 
.
But slope of AB is – 4, so slope of AC is 
.
Therefore the equation of line AC given by (ii) is 
.
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