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Question

The set of values of p for which the roots of the equation 3x2+2x+p(p1)=0 are of opposite sign is

A
(,0)
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B
(0,1)
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C
(1,)
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D
(0,)
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Solution

The correct option is B (0,1)
Roots are of opposite sign means that the product of roots should be negative.
Hence, p(p1)3<0
p(p1)<0p2p<0.
This happens for 0 < p < 1.

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