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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+2(b+c-a)x+a=0h a s` (a)both positive roots (b)both negative roots (c)real roots (d)one positive and one negative root

A

both positive roots

B

both negatie roots

C

real roots

D

one positive and one negative root

Text Solution

Verified by Experts

The correct Answer is:
3,4
Product of roots is
`(a)/(bc) lt 0 [ because abc lt 0 ]`
Hence, roots are real and of opposite sign.
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CENGAGE-THEORY OF EQUATIONS-Exercise (Multiple)
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