Which one of the following points lies on the graph of (a+b)x+(a-b)y=a²+b²
(a) (a+b, a-b)
(b) (a-b, a+b)
(c) (a+b/2,a-b/2)
(d) none
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Answer:
Answer
x
2
+2ax−b
2
=0
Let roots be x
1
& x
2
x
1
+x
2
=
a
−b
=−2a
x
1
x
2
=
a
c
=−b
2
x
2
+2px−q
2
=0
Let roots be y
1
& y
2
y
1
+y
2
=−2p
y
1
y
2
=−q
2
Equation in diametric form is
x
2
+y
2
−(x
1
+x
2
)x−(y
1
+y
2
)y+x
1
x
2
+y
1
y
2
=0
x
2
+y
2
+2ax+2py−b
2
−q
2
=0
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