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Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R ,...

Let `x^2+y^2+x y+1geqa(x+y)AAx ,y in R ,` then the number of possible integer (s) in the range of `a` is___________.

A

`0`

B

`2`

C

`3`

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
C
`x^(2)+x(y-a)+y^(2)-ay+1ge0,AAxepsilonR`
`implies(y-a)^(2)-4(y^(2)-ay+1)le0`
`Dle0`
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