Question

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
​

Answer 1

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