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Number of integral values of lambda for ...

Number of integral values of `lambda` for which `X^(2)-2lambdaxlt41-6lambdaAA x in (1,6]`,is

A

`10`

B

`11`

C

`12`

D

`13`

Text Solution

Verified by Experts

The correct Answer is:
B
Let `Q(x)=x^(2)-2lambda + 6lambda-41`
As `Q(x)lt 0 AA x in (1,6]`, so
`Q(1) le 0" " …..(1)`
`& Q(6 ) lt 0" " ……(2)`
must be satisfied simulataneously
So, `(1)nn(2)implies lambda in ((-5)/(6),10]`
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