Home
Class 12
MATHS
Determine the value of k such that the e...

Determine the value of k such that the equation `(2k-5)x^2-4x-15=0 and (3k-8)x^2-5x-21=0` may have a common root.

Text Solution

Verified by Experts

The correct Answer is:
k = 4, 8
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    FULL MARKS|Exercise EXERCISE 3.7|10 Videos

  • SAMPLE PAPER-09 (UNSOLVED)

    FULL MARKS|Exercise PART-IV (IV. Answer all the questions. )|15 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY-II

    FULL MARKS|Exercise Additional Question Solved|44 Videos

Similar Questions

Explore conceptually related problems

Determine the values of m for which equations 3x^2+4m x+2=0a n d2x^2+3x-2=0 may have a common root.

Find the value of k, such that fog=gof f(x)=2x-k, g(x)=4x+5

If the equation x^(3)+k x^(2)+3=0 and x^(2)+k x+3=0 have a common root, then the value k .

Find the values of k so that the equation x^(2)-2x(1+3k)+7(3+2k)=0 has real and equal roots.

Find the values of a for which all the roots of the equation x^4-4x^3-8x^2+a=0 are real.

Find the value of k for which the equation x^2 −6x+k=0 has distinct roots.

Find the value of 'k' for which the roots of the equation (5k-6)x^(2) + 2kx+1=0 are real and equal .

Find the value of k for which the quadratic equation (k+4)x^(2) + (k+1)k+1=0 has equal roots

FULL MARKS-THEORY OF EQUATIONS -Additional Questions Solved
  1. If alpha, beta and gamma are the cubic equation x^3-6x^2+11x-6=0. From...

    Text Solution

    |

  2. If the roots of x^4+5x^3-30x^2-40x+64=0 are in G. P , then find the ro...

    Text Solution

    |

  3. Determine the value of k such that the equation (2k-5)x^2-4x-15=0 and ...

    Text Solution

    |

  4. If alpha, beta , gamma are the roots of the equation x^3+px^2+qx+r=0 ....

    Text Solution

    |

  5. alpha , beta , gamma are the roots of the equation x^3+3x^2+2x+1=0 . F...

    Text Solution

    |

  6. Find a polynomial equation of minimum degree with rational coefficient...

    Text Solution

    |

  7. Find a polynomial equation of minimum degree with rational co - effici...

    Text Solution

    |

  8. If the roots of equation x^3+px^2+qx+r=0 are in A.P then show that 2p...

    Text Solution

    |

  9. Solve 27x^3+42x^2-28x-8=0 given that its roots are in geometric progre...

    Text Solution

    |

  10. Solve the equation 15x^3-23x^2+9x-1=0 . Where roots are in H . P

    Text Solution

    |

  11. If one root of x^3+2x^2+3x+k=0 is sum of the other two roots then find...

    Text Solution

    |

  12. If sum of the roots of the equation x^3-3x^2-16x+k=0 is zero then find...

    Text Solution

    |

  13. Find all zeros of the polynomial x^3-5x^2-9x-5=0 , If 2 + I is a root.

    Text Solution

    |

  14. Solve (x-3)(x-6)(x-1)(x+2)+54=0

    Text Solution

    |

  15. Solve the equation (x-4)(x-2)(x-1)(x+1)+8=0

    Text Solution

    |

  16. Solve : 3^(2x+4)+1=2.3^(x+2)

    Text Solution

    |

  17. Solve : 2^(2x)-2^(2x+3)+2^4=0

    Text Solution

    |

  18. Solve (x-4)(x+2)(x+3)(x-3)+8=0

    Text Solution

    |

  19. Solve : (x+y)^(2//3)+2(x-y)^(2//3)=3(x^2-y^2)^(1//3) and 3x-2y=13.

    Text Solution

    |

  20. Solve : 5^(x-1)+5^(1-x)=26

    Text Solution

    |