If the equation has no real root, then l...

If the equation has no real root, then `lamda` lies in the interval

A

`(-oo,0)`

B

`(-oo,6)`

C

`(6,oo)`

D

`(0,oo)`

Text Solution

Verified by Experts

The correct Answer is:

B

If equation has no real roots, then (1) must have both roots negative for which
`(-b)/(2a)lt0implieslamdalt0" "(5)`
`f(0)gt0or9gt0`
`:.lamdain(-oo,6)" "["form"(2),(3),(5)]`
Also for no real roots we can have `Dlt0`
`implieslamda^(2)-36lt0implieslamdain(-6,6)`
Hence, `lamdain(-oo,6)`

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