Q. In a are the perpendicular bisectors of its sides and respectively and if , then the equation of the side is

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Solution:

Given that, equation of is
passes through

image
Equation becomes
Here,
Since, is mid-point of .
Let coordinates of are .
and
and
and
is .
Similarly, equation of is is passes through

Here, is a point of intersection of
and .

Since, is mid-point of .
Let coordinates of are
and
and
and
is
Required equation of is