The equations of the perpendicular bisectors of the sides AB and AC of a 
are 
and 
, respectively. If the point A is 
, then equation of the line 
is 
. Find 
.
Text Solution
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(37)
Let the co-ordinates of B and C are 
and 
, 
respectively.
Clearly the mid-point of A and B and A and C lie on the perpendicular bisectors 
and 
.
So, 
…… ..(i)
and 
…… ..(ii)
Also, 
…… .(iii)
Solving Eqs (i) and (iii), we get the co-ordinates of B, i.e. 
Solving Eqs (ii) and (iv), we get the co-ordinates of C, i.e. 
Now, 
Therefore, the equation of BC is
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