find the centre of the circle whose two end points of its diameter are (3,2),(-9,-11).
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Answer:
Answer
Centre of first circle
x
2
+y
2
+16x−14y−1=0.
is(−g,−f)
⇒(−8,7)→P
ForIICircle:
Centre→(2,−5)→Q
EquationofcirclewithP&Qasdiametricendpoints:
Centre→(
2
−8+2
,
2
7−5
)
⇒(−3,1).
radius=
2
1
(2+8)
2
+(−5−7)
2
=
2
1
100+144
=
2
244
.
⇒(x+3)
2
+(y−1)
2
=
4
244
⇒(x+3)
2
+(y−1)
2
=61
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