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If a ,b ,c in Ra n da b c<0 , then equa...

If `a ,b ,c in Ra n da b c<0` , then equation `b c x^2+2b+c-a)x+a=0h a s` both positive roots both negative roots real roots one positive and one negative root

A

both positive roots

B

both negative roots

C

real roots

D

one positive and one negative root.

Text Solution

Verified by Experts

The correct Answer is:
C, D
Given `abc lt 0`
product of roots of the given equation `= (a)/(bc) xx (bc)/(bc)`
`= (abc)/((bc)^(2)) lt 0`
`:'` product of roots is `lt 0`
`:.` one roots is positive and one is negative real roots
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