A triangle is formed by the lines whose equations are AB : x + y - 5 = 0, BC : x + 7y - 7 = 0,
and CA : 7x + y + 14 = 0. Find (i) the bisector of the interior angle at B, and (ii) the bisector of
the exterior angle at C.
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Answer-
( identity : (a-b)² = a²-2ab +b²)
= {(2x - 5y)}^{2}=(2x−5y)
2
= {(2x)}^{2} - 2(2x)(5y) + {(5y)}^{2}=(2x)
2
−2(2x)(5y)+(5y)
2
= 4 {x}^{2} - 20xy + 25 {y}^{2}=4x
2
−20xy+25y
2
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