Home
Class 10
MATHS
Find the values of k for which the...

Find the values of `k` for which the equation `x^2-4x+k=0` has distinct real roots.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

    RD SHARMA|Exercise All Questions|183 Videos
  • REAL NUMBERS

    RD SHARMA|Exercise All Questions|180 Videos

Similar Questions

Explore conceptually related problems

Find the values of k for which the equation x^(2)+5kx+16=0 has no real roots.

Find the value of k for which the equation x^(2)+k(2x+k-1)+2=0 has real and equal roots.

Find the value (p) of k for which the equation x^(2) +5kx +16=0 has real and equal roots.

Find the value of k for which the equation x^(2)-2(1+3k)x+7(3+2k)=0 has two equal roots, which are real.

Find the value of k for which the equation 9x^(2)-24x+k=0 has equal roots.Also,find the roots.

(i) Find the values of k for which the quadratic equation (3k+1)x^(2)+2(k+1)x+1=0 has real and equal roots. (ii) Find the value of k for which the equation x^(2)+k(2x+k-1)+2=0 has real and equal roots.

Find the values of k for which the quadratic equation 9x^(2)-3kx+k=0 has equal roots.

Find the set of values of lambda for which the equation |x^(2)-4|x|-12]=lambda has 6 distinct real roots.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Solve for x : x+1/x=3,\ \ x!=0

    Text Solution

    |

  2. Solve for x : (16)/x-1=(15)/(x+1),\ \ x!=0,\ -1

    Text Solution

    |

  3. Find the values of k for which the equation x^2-4x+k=0 has disti...

    Text Solution

    |

  4. Show that the equation x^2+a x-4=0 has real and distinct roots f...

    Text Solution

    |

  5. The positive value of k for which the equation x^2+k x+64=0 and x^2-8x...

    Text Solution

    |

  6. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  7. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  8. Find the values of k for which the given equation has real roots...

    Text Solution

    |

  9. Find the value of k for which the equation 9x^2-24 x+k=0 has equ...

    Text Solution

    |

  10. Find the value of k for which the equation 2k x^2-40 x+25=0 has ...

    Text Solution

    |

  11. Determine the nature of the roots of the following quadratic equati...

    Text Solution

    |

  12. Determine the nature of the roots of the following quadratic equati...

    Text Solution

    |

  13. Determine the nature of the roots of the following quadratic equati...

    Text Solution

    |

  14. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  15. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  16. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  17. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  18. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  19. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

  20. Find the values of k for which (k+1)x^2-2(3k+1)x+8k+1=0 has real an...

    Text Solution

    |