Progression (Sequence and Series)Hard
Question
If the sum of the roots of the quadratic equation ax2 + bx + c = 0 is equal to the sum of the squares of their reciprocals, then 
and 
are in
and are inOptions
A.arithmetic progression
B.geometric progression
C.harmonic progression
D.arithmetic-geometric-progression
Solution
Let α, β be the roots
α + β =
α + β =
⇒ 2a2c = b (a2 + bc)
⇒
, 
are in H.P.
Hence, (C) is the correct answer
α + β =
α + β =
⇒ 2a2c = b (a2 + bc)
⇒
, are in H.P. Hence, (C) is the correct answer
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