Home
Class 12
MATHS
If the roots of x^(2)-2(7+3m)x+55m+45=0,...

If the roots of `x^(2)-2(7+3m)x+55m+45=0`, are equal, then m =

A

1, `(4)/(9)`

B

-1, `(-4)/(9)`

C

1, `(-4)/(9)`

D

-1, `(+4)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise EXERCISE-II|121 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|88 Videos
  • QUADRATIC EQUATIONS & EXPRESSIONS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|10 Videos
  • PROBABILITY

    AAKASH SERIES|Exercise Practise Exercise|165 Videos
  • RANDOM VARIABLE

    AAKASH SERIES|Exercise PRACTICE EXERCISE|34 Videos

Similar Questions

Explore conceptually related problems

IF the roots of (3m +1) x^2 +2(m+1) x+m =0 are equal then m=

IF the roots of x^2-2(5 + 2k ) x+ 3 (7+10k) are equal then k=

If the two roots of 4x^3 + 20 x^2 -23x + 6=0 are equal then find all the roots .

It two roots of 20x^(3) - 16x^(2) + x + 1 = 0 are equal then the roots are

The roots of 7x^(2) + 3x + 8 = 0 are…

The roots of (7x-1)(2x+3)=0.

For what values of m are the roots of the equation mx^(2) + (m + 3) x + 4 = 0 are equal?

Sum of the roots of -7x + 3x^(2) - 1 = 0 is

Product of the roots of x^(2) + 7x = 0 is…

IF the product of the roots of 5x^2-4x+2+m(4x^2-2x-1) =0 is 3, then m=

AAKASH SERIES-QUADRATIC EQUATIONS & EXPRESSIONS-EXERCISE-I
  1. If 3+4i is a root of equation x^(2)+px+q=0 where p, q in R then

    Text Solution

    |

  2. The quadratic equation whose one root is (-3+I sqrt7)/(4) is

    Text Solution

    |

  3. If the roots of x^(2)-2(7+3m)x+55m+45=0, are equal, then m =

    Text Solution

    |

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

    Text Solution

    |

  5. IF the roots of the equation x^2+a^2 =8x + 6a are real , then...

    Text Solution

    |

  6. If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal bu...

    Text Solution

    |

  7. The least integral value of 'a' for which the equation x^(2)-2(a-1)x+(...

    Text Solution

    |

  8. The value of 'a' for which the equation 3x^(2)+2(a^(2)+1)x+(a^(2)-3a+2...

    Text Solution

    |

  9. If the roots ax^(2)+bx+c=0 are both negative and b lt 0, then

    Text Solution

    |

  10. The coefficient of x in a quadratic equation x^2 + px +q=0 was ...

    Text Solution

    |

  11. In finding the roots of x^(2) + px + q = 0 the coefficient of x was ta...

    Text Solution

    |

  12. IF the harmonic mean between the roots of (5 + sqrt(2))x^2-bx +...

    Text Solution

    |

  13. The equation x-(2)/(x-1) =1-(2)/(x-1) has

    Text Solution

    |

  14. If a = 0 then the equation (x-a-1)/(x-a)= (a +1)-(1)/(x-a) has

    Text Solution

    |

  15. If x^(2) + ax + b = 0, x^(2) + bx + a = 0 (a != 0) have a common root,...

    Text Solution

    |

  16. The value of a such that x^2 -11x+a =0 ,x^2 -14 x + 2a=0 may h...

    Text Solution

    |

  17. if 2x - 7 - 5x^2 has maximum value at x=a then a=

    Text Solution

    |

  18. The greatest value of (4)/(4x^(2)+4x+9) is

    Text Solution

    |

  19. The smallest value of x^(2) - 3x + 3 in the interval [-3, (3)/(2)] is

    Text Solution

    |

  20. I) The maximum value of c + 2bx -x^(2) is c+b^(2) II) The minimum va...

    Text Solution

    |