If the sum of the roots of the quadratic equation \( a x^{2}+b x+c=0 \) is equal to the sum of t....

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If the sum of the roots of the quadratic equation
\( \mathrm{P} \)
\( a x^{2}+b x+c=0 \) is equal to the sum of the squares of their reciprocals, then
(1) \( b c^{2}, c a^{2}, a b^{2} \) are in \( A P \)
(2) \( b c^{2}, a b^{2}, c a^{2} \) are in \( A P \)
(3) \( c a^{2}, b c^{2}, a b^{2} \) are in \( A P \)
(4) \( a b, b c, c a \) are in \( A P \)
.
(4)(8)(8) (9)


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