Home
Class 10
MATHS
If the equation x^2+4x+k=0 has real ...

If the equation `x^2+4x+k=0` has real and distinct roots, then `k<4` (b) `k >4` (c) `kgeq4` (d) `klt=4`

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

The equations x^(2) - 8x + k = 0 has real and distinct roots if :

If the equation x^(2)+4x+k=0 has real and distinct roots, then find the value of 'k'.

The equation x^(4)-2x^(2)=a has 4 distinct real roots,then

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

If the equation x^4- λx^2+9=0 has four real and distinct roots, then lamda lies in the interval

If the equation 4x^(3)+5x+k=0(k in R) has a negative real root then

If the equation x ^(4)+kx ^(2) +k=0 has exactly two distinct real roots, then the smallest integral value of |k| is:

If the biquadratic equation x^(4)-bx^(3)+cx^(2)+bx+1=0 has 4 real and distinct roots,then which of the following is necessarily true?

Show that the equation x^(2)+ax-4=0 has real and distinct roots for all real values of a .

If the equation x^(2)-4x-(3k-1)|x-2|-2k+8=0,kinR , has exaclty three distinct solutions, then k is eaual to _____.

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Find the discriminant of the quadratic equation 3sqrt3x^2+10x+sqrt3=0.

    Text Solution

    |

  2. If x=(-1)/2 , is a solution of the quadratic equation 3x^2+2k x-3=0...

    Text Solution

    |

  3. If the equation x^2+4x+k=0 has real and distinct roots, then k<4...

    Text Solution

    |

  4. If the equation 9x^2+6k x+4=0 has equal roots, then the roots ar...

    Text Solution

    |

  5. If the equation a x^2+2x+a=0 has two distinct roots, if a=+-1 (b...

    Text Solution

    |

  6. If 2 is a root of the equation x^2+b x+12=0 and the equation x^2...

    Text Solution

    |

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

    Text Solution

    |

  8. If the equation x^2-b x+1=0 does not possess real roots, then -3...

    Text Solution

    |

  9. If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=...

    Text Solution

    |

  10. If p and q are the roots of the equation x^2-p x+q=0 , then p=1,\ q...

    Text Solution

    |

  11. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of th...

    Text Solution

    |

  12. Write the number of quadratic equation with real roots, which do no...

    Text Solution

    |

  13. If the equation (a^2+b^2)x^2-2(a c+b d)x+c^2+d^2=0 has equal roots, t...

    Text Solution

    |

  14. If the sum of the roots of the equation x^2-x=lambda(2x-1) is zero,...

    Text Solution

    |

  15. If x=1 is a common root of a x^2+a x+2=0 and x^2+x+b=0 then, a b= ...

    Text Solution

    |

  16. The value of c for which the equation a x^2+2b x+c=0 has equal ...

    Text Solution

    |

  17. If x^2+k(4x+k-1)+2=0 has equal roots, then k= (a) -2/3,\ 1 (b)...

    Text Solution

    |

  18. If the sum and product of the roots of the equation k x^2+6x+4k=0 a...

    Text Solution

    |

  19. If sinalpha and cosalpha are the roots of the equation a x^2+b x+c=...

    Text Solution

    |

  20. If 2 is a root of the equation x^2+a x+12=0 and the quadratic eq...

    Text Solution

    |