Home
Class 12
MATHS
IF both the roots of the equation x^2...

IF both the roots of the equation `x^2 -6ax+2-2a +9a^2 =0` exceed 3, then

A

`a gt 9/(11)`

B

` a gt (11)/9`

C

` a gt (11)/9`

D

` alt (11)/9`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If both the roots of the equation x^(2)-4ax+1-3a+4a^(2)=0 exceed 1, then a lies in the interval

Find the roots of the equation 3x^(2)+2x-5=0

One of the real roots of the equation x^3-6x^2+6x-2=0 is

The roots of the equation 3x^(2) - 2 sqrt 6 x + 2 = 0 are

The roots of the equation x^(2)-2sqrt3 x+3=0 are

IF both the roots of equation x^(2) -2ax + a^(2) -1=0 lie in the interval (-3,4) , then sum of the integral of a is

The roots of the equation x^(2)+2ax+a^(2)+b^(2)=0 are

IF 3+i is a root of the equation x^2 + ax + b=0 then a=

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |

  2. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  3. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

    Text Solution

    |

  4. If the roots of x^2+x+a=0 exceed , a then

    Text Solution

    |

  5. The roots of 3x^2 + 4x -7=0 are

    Text Solution

    |

  6. The roots of 5x^2 -3x +2=0 are

    Text Solution

    |

  7. The roots of the equation (b-c) x^2 +(c-a)x+(a-b)=0are

    Text Solution

    |

  8. IF ad ne bc then the roots of (a^2 +b^2)x^2+2x(ac+bd) +(c^2 +d^2)...

    Text Solution

    |

  9. For p,q in R, the roots of (p^2+q^2)x^2+2(p+q)x+2=0 are

    Text Solution

    |

  10. The roots of the equation 2(a ^2 +b^2)x^2+2(a+b)x+1=0 are

    Text Solution

    |

  11. The roots of (x-b)(x-c) +(x-a)(x-c) +(x-a) (x-b)=0 are

    Text Solution

    |

  12. The roots of (x-a) (x-a -1) +(x-a-1) +(x-a-2) +(x-a) (x-a-2)=0 a in...

    Text Solution

    |

  13. IF l,m,n are rational the roots of (m +n) x^2 -(l+m+n)x+l =0 are

    Text Solution

    |

  14. If the roots of a^2x^2 + 2 bx + c^2 =0 are imaginary then the ro...

    Text Solution

    |

  15. IF the roots of (a^2 +b^2 ) x^2 +2 (bc + ad ) x +(c^2+d^2)=0 ar...

    Text Solution

    |

  16. IF m,n,K are rational and m=k +(n)/(k) then the roots of x^2 ...

    Text Solution

    |

  17. IF alpha , beta are the roots of x^2 +px +q=0 and alpha ^4 ...

    Text Solution

    |

  18. Let a,b,c be real numbers a ne 0 if alpha is a roots of a^2 ...

    Text Solution

    |

  19. If p(x)= ax^(2)+bx+c and Q(x) =-ax^(2)+dx+c where ac ne 0 then the e...

    Text Solution

    |

  20. Let f(x) = x^2 + ax + b , where a, b in RR . If f(x) =0 has ...

    Text Solution

    |