Q. 20

If the roots of the equation (a2 + b2)x2 – 2(ac + bd)x + (c2 + d2) = 0 are equal, prove that .

Answer :

Given equation is

Also given roots are equal.


We know that, for if it has equal roots


Applying this to our equation, we get










Conclusion: Therefore, if the roots of the equation


are equal then


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