Home
Class 11
MATHS
The integral value of k for which the r...

The integral value of k for which the roots of the equation `(x-2)x^(2)+8x+k+4=0` are real , distinct and negative is :

A

0

B

2

C

3

D

-4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS AND EQUATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|138 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|45 Videos

  • SEQUENCES AND SERIES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has both roots real, distinct and negative, is

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

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

The smallest value of k, for which both the roots of the equation, x^2-8kx + 16(k^2-k + 1)=0 are real, distinct and have values at least 4, is

The number of values (s) of k , for which both the roots of the equation x^(2) -6kx + 9(k^(2)-k+1)=0 are real, distinct and have values atmost 3 is ________

The least value of k which makes the roots of the equation x^(2) + 5x + k = 0 imaginary is

The set of values of k for which roots of the equation x^(2) - 3x + k = 0 lie in the interval (0, 2), is

Number of non-negative integral values of 'k' for which roots of the equation x^(2)+6x+k=0 are rational is-

Minimum integral value of k for which the equation e^(x)=kx^(2) has exactly three real distinct solution,

For what values of k are the roots of the equation kx^(2)+4x+k=0 real and unequal ?

OBJECTIVE RD SHARMA ENGLISH-QUADRATIC EXPRESSIONS AND EQUATIONS -Chapter Test
  1. If secalpha, tan alpha, " are roots of " ax^(2) + bx +c =0 , then

    Text Solution

    |

  2. If the roots of the equation x^(3) + bx^(2) + 3x - 1 = 0 form a non-de...

    Text Solution

    |

  3. Let [x] denote the greatest integer less than or equal to x. Then, int...

    Text Solution

    |

  4. the number of non-zero solutions of the equation x^2-5x-(sgn x)6=0 is.

    Text Solution

    |

  5. Find the value of a for which one root of the quadratic equation (a^2-...

    Text Solution

    |

  6. If alpha, beta, gamma are the roots of the equation x^(3) + ax^(2) + b...

    Text Solution

    |

  7. If alpha,beta and gamma are the roots of x^3+qx + r = 0 thensumalpha/(...

    Text Solution

    |

  8. If alpha, beta are the roots of the equation ax^2 + bx +c=0 then the v...

    Text Solution

    |

  9. If alpha,beta are roots of x^2+-p x+1=0a n dgamma,delta are the roots ...

    Text Solution

    |

  10. The maximum number of real roots of the equation x^(2n) -1 = 0, is

    Text Solution

    |

  11. The integral value of k for which the roots of the equation (x-2)x^(...

    Text Solution

    |

  12. If x^(2//3) -7 x^(1//3) + 10 = 0, then the set of values of x, is

    Text Solution

    |

  13. If x^2+2ax+10-3a gt0 for all x in R then

    Text Solution

    |

  14. If the difference between the corresponding roots of x^(2)+ax+b=0and x...

    Text Solution

    |

  15. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

  16. Find the value of a for which the sum of the squares of the roots of t...

    Text Solution

    |

  17. If x^(2)+ax+10=0and x^(2)+bx-10=0 have common root, then a^(2)-b^(2) i...

    Text Solution

    |

  18. If x^2+p x+q=0 is the quadratic equation whose roots are a-2a n d b-2 ...

    Text Solution

    |

  19. If alpha and beta are the roots of the equation x^(2)-ax+b=0and A(n)=a...

    Text Solution

    |

  20. If the equation ax^(2)+bx+c=0(agt0) has two roots alpha and beta such ...

    Text Solution

    |