InterviewSolution
Saved Bookmarks
InterviewSolution
| 1. |
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___________. |
|
Answer» Correct Answer - 3 `rArr (y-a)^(2)=4(y^(2)-ay+1)le0` `rArr -3y^(2)+2ay+a^(2)-4le0AAy inR` `therefore 3y^(2)-2ay+4-a^(2)ge0AAy in R` `Dle0` `rArr4a^(2)-4 " . "3(4-a^(2))le0` `rArra^(2)-3(4-a^(2))le0rArr4a^(2)-12le0` `therefore " Range of " a in [-sqrt3, sqrt3]` `rArr " number of integer " {-1,0,1}` |
|