For a, b, c non-zero, real distinct, the...

For a, b, c non-zero, real distinct, the equation `(a^(2)+b^(2))x^(2)-2b(a+c)x+b^(2)+c^(2)=0` has non-zero real roots. One of these roots is also the root of the equation

A

`(b^(2)-c^(2))x^(2)+2a(b-c)x-a^(2)=0`

B

`(b^(2)+c^(2))x^(2)-2a(b+c)x+a^(2)=0`

C

`a^(2)x^(2)+a(c-b)x-bc=0`

D

`a^(2)x^(2)-a(b-c)x+bc=0`

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The correct Answer is:

C

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