Home
Class 10
MATHS
IF the roots of kx^2+x(k-1)+(k-1)=0 are ...

IF the roots of `kx^2+x(k-1)+(k-1)=0` are equal, then k=……….

A

`1 or 1/3`

B

`1 or (-1)/3`

C

`-1 or 1/3`

D

`-1 or (-1)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|270 Videos

  • REAL NUMBERS

    VGS PUBLICATION-BRILLIANT|Exercise EXERCISE|321 Videos

Similar Questions

Explore conceptually related problems

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

The value of K , so that the sum and product of the roots of 2x ^2 +(k-3) x+ 3k -5=0 are equal is

IF the roots of x^3 - 13x^2 +kx - 27=0 are in G.P then k=

If the root of kx^3 - 18x^2 - 36 x+8=0 are in H.P then k=

If the coefficient of x^2 and x^3 in (3+kx)^9 are equal then k=

If the roots of kx^(3) -18x^(2) -36x + 8 =0 are in H.P, then k is

IF one root of x^2-x-k=0 is square that of the other, then k=………

If the sum of the roots of kx^(2) + 2x + 3k = 0 is equal to their product, then k =

If the roots of (x^(2)-bx)/(ax-c)=(k-1)/(k+1) are numerically equal but opposite in sign, then k =

If the sum of the roots of kx^(2) - 3x + 1 = 0 "is" (-4)/3 then k = …

VGS PUBLICATION-BRILLIANT-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)-QUADRATIC EQUATIONS (MULTIPLE CHOICE QUESTION)
  1. 2x^2+3x-1=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  2. 3x^2-5x+2=0 is a quadratic equation the roots are alpha,beta then alph...

    Text Solution

    |

  3. x^2+px+q=0 is a quadratic equation, the roots are alpha,beta then alph...

    Text Solution

    |

  4. The quadratic equation whose roots are reciprocal of the roots of the ...

    Text Solution

    |

  5. IF a gt0 then the minimum value of 3x^2+4x+1 is…….

    Text Solution

    |

  6. If x gt 0, then the minimum value of 11/3+5(x-7/2)^2 is………

    Text Solution

    |

  7. Examine 3y^2-8xy-3x^2-29x+3y-18 is re-solvable into two linear factors...

    Text Solution

    |

  8. Solve:x(x+y+z)=6, y(x+y+z)=12,z(x+y+z)=18

    Text Solution

    |

  9. The area of a rectangular plot is 528m^2. The length of the plot is on...

    Text Solution

    |

  10. IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

    Text Solution

    |

  11. IF one root of x^2-x-k=0 is square that of the other, then k=………

    Text Solution

    |

  12. IF the sum of the roots of ax^2+bx+c=0 is equal to the sum of the squa...

    Text Solution

    |

  13. IF alpha^2=5alpha-6,beta^2=5beta-6, alpha ne beta then the equation wh...

    Text Solution

    |

  14. sqrt(a+sqrt(a+sqrt(a+......infty)))=........

    Text Solution

    |

  15. If the sum of a number and its reciprocal is 17/4, then that number is...

    Text Solution

    |

  16. IF 3 is one root of x^2+kx-24=0 then k=……….

    Text Solution

    |

  17. IF the roots of kx^2+x(k-1)+(k-1)=0 are equal, then k=……….

    Text Solution

    |

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

    Text Solution

    |

  19. The condition that the roots of ax^2+bx+c=0 may be in the ratio m:n is...

    Text Solution

    |

  20. The equation whose roots are greater by 1 than those of 2x^2+3x+5=0.

    Text Solution

    |