[JEE Main 2003] If the sum of the roots of $ax^2+bx+c=0$ equals the sum of the squares of their reciprocals, then $\dfrac ac,\ \dfrac ba,\ \dfrac cb$ are in
If the sum of the roots of $ax^2+bx+c=0$ equals the sum of the squares of their reciprocals, then $\dfrac ac,\ \dfrac ba,\ \dfrac cb$ are in
(a) A.G.P.
(b) A.P.
(c) G.P.
(d) H.P.
1 Answer
VAVidaara Admin
✓ Vidaara Team
✓ Accepted
· 1mo ago
▲ 0
Correct answer: (d) H.P.
The condition reduces to $2\frac ab=\frac bc+\frac ca$, i.e. $\frac ca,\frac ab,\frac bc$ are in A.P., equivalently $\frac ac,\frac ba,\frac cb$ are in H.P.
JEE Main 2003 · Quadratic Equations and Inequations — verified solution by the Vidaara Team.
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