Home
Class 12
MATHS
Find the values of a for which x^2-ax+1-...

Find the values of `a` for which `x^2-ax+1-2a^2ge0` for real values of `x`.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Ellipse and Hyberbola

    A DAS GUPTA|Exercise EXERCISE|65 Videos

  • Function

    A DAS GUPTA|Exercise Exercise|57 Videos

Similar Questions

Explore conceptually related problems

Find the values of 'm' for which (m2)x^(2)+8x+m+4>0 for all real x .

Let y=sqrt(((x+1)(x-3))/((x-2)))* Find all the real values of x for which y takes real values.

Let sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Find the values of 'a' for which -3<(x^(2)+ax-2)/(x^(2)+x+1)<2 is valid for all real

Find the values of the parameter a for which 4^(x)-a.2^(x)-a+3<=0 for atleast one real x.

Find the value of a which makes the expression x^2-ax+1-2a^2 always positive for real values of x.

Let y=sqrt(2/(x^(2)-x+1)-1/(x+1)-(2x+1)/(x^(3)+1)) , find all the real values of x for which y takes real values.

Find the values of k for which the roots are real and equal in the following equations: (k+1)x^(2)-2(k-1)x+1=0( ii )2x^(2)+kx+3=0

A DAS GUPTA-Equations, Inequation and Expressions-Exercise
  1. If the equation x^2+ax+12=0 , x^2 +bx +15 =0 and x^2 (a+ b) x+ 36 =0 ...

    Text Solution

    |

  2. Let lambda,mu be such that the equations 4x^2 - 8x + 3 = 0, x^2 + lamb...

    Text Solution

    |

  3. Find the values of a for which x^2-ax+1-2a^2ge0 for real values of x.

    Text Solution

    |

  4. Find the minimum value of 3x^2-6x+7, x in R and also find the correspo...

    Text Solution

    |

  5. Find the maximum value of (2+3x)(1-x),x in R and also find the corresp...

    Text Solution

    |

  6. If f(x) = (x^2 -2x + 4)/(x^2+2x+4), x in R then range of function is

    Text Solution

    |

  7. Range of (x^2-x+1)/(x^2+x+1) is

    Text Solution

    |

  8. If for all real x (x+a)/(x^2+b x+c^2) cannot lie between two limits, ...

    Text Solution

    |

  9. If x is real, show that the expression (4x^2+36 x+9)/(12 x^2+8x+1) can...

    Text Solution

    |

  10. If x in R ,a n da ,b ,c are in ascending or descending order of magni...

    Text Solution

    |

  11. If f(x)=(ax^2+x-2)/(a+x-2x^2) has the range R when x in R then

    Text Solution

    |

  12. Let f(x)=(mx^2+3x+4)/(x^(2)+3x+4) , m in R . If f(x) lt 5 for all x i...

    Text Solution

    |

  13. For x in R, the expression (x^2+2x+c)/(x^2+4x+3c) can take all real va...

    Text Solution

    |

  14. x^2-x y+y^2-4x-4y+16=0 represents a. a point b. a circle c. a pair...

    Text Solution

    |

  15. If the expression x^2+2(a+b+c)x+3(bc+ca+ab) is a perfect square then

    Text Solution

    |

  16. If (a1x^2 +bx+c1)y+(a2x^2+b2x+c1)=0 find condition that x is a ration...

    Text Solution

    |

  17. 52 Show that a(b - c)x^2 + b(c - a)xy + c(a - b)y^2 will be a perfect...

    Text Solution

    |

  18. For what value of k, (x + y + z)^2 + k(x^2 +y^2 + z^2) can be resolve...

    Text Solution

    |

  19. If (x-1)^(2) is a factor of ax^(3) +bx^(2) +c then roots of the equa...

    Text Solution

    |

  20. If a1x^3 + b1x² + c1x + d1 = 0 and a2x^3 + b2x^2+ c2x + d2 = 0 have a ...

    Text Solution

    |