If the equation `(a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0` has equal roots, then (a)`a b=c d` (b) `a d=b c` (c) `a d=sqrt(b c)` `a b=sqrt(c d)`

Explanation

To determine which of the given options is correct for the quadratic equation

\[ (a^2 + b^2)x^2 - 2(ac + bd)x + (c^2 + d^2) = 0 \]

having equal roots, we need to analyze the discriminant of the quadratic equation. The roots of a quadratic equation \(Ax^2 + Bx + C = 0\) are equal if the discriminant \(D\) is zero, where

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