Home
Class 11
MATHS
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___________.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos
  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If R = {(x,y):x, y in N, x+2y=8} then range of R is

If R={(x , y): x , y in W ,2x+y=8} ., then write the domain and range of Rdot

if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) number of positive integer value of x is

Let f(x+y)+f(x-y)=2f(x)f(y) AA x,y in R and f(0)=k , then

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range of R.

Q) The number ofpositive integer pairs (x, y) such that 1/x+1/y=1/2007 , x < y is

Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x_(1) , x_(2) , x_(3) be integers such that x_(1)x_(2)x_(3)=y , then the number of positive integral solutions of x_(1)x_(2)x_(3)=y is

If R={(x,y): x,y in W, x ^(2)+y^(2)=25} , then find the domain and range or R.

If R = {(x,y): x, y in W, x^(2) + y^(2) = 25} , then find the domain and range of R .

Suppose xy-5x+2y=30, where x and y are positive integers. Find the number of possible values of x.

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If omega is an imaginary fifth root of unity, then find the value of ...

    Text Solution

    |

  2. a ,b ,a n d c are all different and non-zero real numbers on arithmet...

    Text Solution

    |

  3. Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...

    Text Solution

    |

  4. If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...

    Text Solution

    |

  5. If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...

    Text Solution

    |

  6. If z is a non real root of root(7)(-1) , then find the value of z^(86...

    Text Solution

    |

  7. The quadratic equation x^2+m x+n=0 has roots which are twice those of ...

    Text Solution

    |

  8. Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1]...

    Text Solution

    |

  9. All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=...

    Text Solution

    |

  10. If a=cos(2pi//7)+isin(2pi//7), then find the quadratic equation whose ...

    Text Solution

    |

  11. Let complex numbers alpha and 1/alpha lies on circle (x-x0)^2+(y-y0)^2...

    Text Solution

    |

  12. If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...

    Text Solution

    |

  13. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

    Text Solution

    |

  14. Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=...

    Text Solution

    |

  15. The value of i^(1+3+5+.....+(2n+1)) is.

    Text Solution

    |

  16. a ,b , c are integers, not all simultaneously equal, and omega is cube...

    Text Solution

    |

  17. a, b, c are reals such that a+b+c=3 and   1/(a+b)+ 1/(b+c) + 1/ (c+...

    Text Solution

    |

  18. If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tannthet...

    Text Solution

    |

  19. If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...

    Text Solution

    |

  20. The locus of z which lies in shaded region (excluding the boundaries) ...

    Text Solution

    |