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`