Home
Class 10
MATHS
The positive value of k for which the eq...

The positive value of `k` for which the equation `x^2+k x+64=0` and `x^2-8x+k=0` will both have real roots, is (a) 4 (b) 8 (c) 12 (d) 16

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROBABILITY

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

    RD SHARMA ENGLISH|Exercise All Questions|181 Videos

Similar Questions

Explore conceptually related problems

Determine the positive values of ' k ' for which the equation x^2+k x+64=0 and x^2-8x+k=0 will both have real roots.

Find the least positive value of k for which the equation x^2+k x+4=0 has real roots.

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

The set of value of k (k in R) for which the equation x ^(2) -4 |x|+3 -|k-1|=0 will have exactly four real roots, is:

The set of vlaue of k (k in R) for which the equation x ^(2) -4 |x|+3 -|k-1|=0 will have exactly four real roots, is:

The value of k for which the system of equations 3x+5y=0 and k x+10 y=0 has a non-zero solution, is (a) 0 (b) 2 (c) 6 (d) 8

Write the set of values of k for which the quadratic equation has 2x^2+k x-8=0 has real roots.

Find the values of k for which the given equation has real roots: k x^2-6x-2=0

Write the value of k for which the quadratic equation x^2-k x+4=0 has equal roots.

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2...

    Text Solution

    |

  2. If a x^2+b x+c=0 has equal roots, then c= (a)b/(2a) (b) b/(2a) (c) ...

    Text Solution

    |

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

    Text Solution

    |

  4. The value of sqrt(6+sqrt(6+sqrt(6+))) ..........is (a) 4 (b) 3 (c) ...

    Text Solution

    |

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

    Text Solution

    |

  6. A pole has to be erected at a point on the boundary of a circular park...

    Text Solution

    |

  7. If 1+sqrt(2) is a root of a quadratic equation with rational coefficie...

    Text Solution

    |

  8. Write the sum of real roots of the equation x^2+|x|-6=0

    Text Solution

    |

  9. If the equation x^2-a x+1=0 has two distinct roots, then (a)|a|=2 (b...

    Text Solution

    |

  10. If one root of the equation 2x^2+b x+c=0 is three times the other, the...

    Text Solution

    |

  11. If one root of the equation 4x^2-2x+(lambda-4)=0 be the reciprocal of ...

    Text Solution

    |

  12. One fourth of a herd of camels was seen in the forest. Twice the squar...

    Text Solution

    |

  13. Out of a group of swans 7/2 times the square root of the number are p...

    Text Solution

    |

  14. The difference of the squares of two numbers is 45. The square of the ...

    Text Solution

    |

  15. If the sum of first n even natural numbers is 420, find the value of ...

    Text Solution

    |

  16. If 1 is the root of equation 3x^2+ax-2=0 and the quadratic equation a(...

    Text Solution

    |

  17. The sum of the squares of three consecutive natural numbers is 149. ...

    Text Solution

    |

  18. The sum of two numbers is 9. The sum of their reciprocals is ½. Find ...

    Text Solution

    |

  19. A two digit number is such that the product of its digits is 18. When ...

    Text Solution

    |

  20. The denominator of a fraction is one more than twice the numerator. If...

    Text Solution

    |