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JEE MATHEMATICS MCQ: QUADRATIC EQUATIONS

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If the roots of the equation (a2+b2)t2−2(ac+bd)t+(c2+d2)=0\left(a^2+b^2\right) t^2-2(a c+b d) t+\left(c^2+d^2\right)=0 are equal, then
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Correct option: D
a/b=c/da / b=c / d
Option D (a/b=c/da/b = c/d) is correct because the condition for equal roots leads to the equation (ad−bc)2=0(ad-bc)^2 = 0, which simplifies to a/b=c/da/b = c/d.

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