If the roots of the equation \[ \left(a^{2}+b^{2}\right) x^{2}+2(b c+a d) x+\left(c^{2}+d^{2}\ri...

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If the roots of the equation
\[
\left(a^{2}+b^{2}\right) x^{2}+2(b c+a d) x+\left(c^{2}+d^{2}\right)=0
\]
are real then \( a^{2}, b d, c^{2} \) are in
(a) \( \mathrm{AP} \)
(b) GP
(c) \( \mathrm{HP} \)
(d) AGP
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