If the roots of the equation `(a^(2) + b^(2)) x^(2) - 2b ( a+c) x+ ( b^(2) + c^(2)) = 0 ` are equal , then which one of the following is correct ?

If the roots of the equation (a ^(2) – bc) x ^(2) + (b ^(2) – ac) x + (c ^(2) – ab) = 0 are equal, where b = 0, then which one of the following is correct ?

If the equation (a^(2)+b^(2))x^(2)-2(ac+bd)x+(c^(2)+d^(2))=0 has equal roots, then which one of the following is correct?

The equation (a^(2)+b^(2))x^(2)-2b(a+c)x+(b^(2)+c^(2))=0 has equal roots. Which one of the following is correct about a,b and c ?

The roots of the equation (b-c)x^(2)+(c-a)x+(a-b)=0

If the roots of the quadratic equation (a-b) x^(2) + (b - c) x + (c - a) =0 are equal , prove that b +c = 2a

The roots of the equation ( a-b) x^2 +(b-c) x+ (c-a) =0 are