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Question

If one of the roots of the equation 3x3+11x2+12x+4=0 is (−1), then all the three roots are in :

A
Arithmetic progression
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B
Geometric progression
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C
Harmonic progression
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D
None of these
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Solution

The correct option is C Harmonic progression
The roots of the given equation are -2, -1, 23.
These roots are neither in A.P. nor in G.P. These roots are in H.P.
because 12,1,32 are in A.P.
with common difference 12
2,1,23 are in H.P.

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