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

Find the values of `k` for which the given quadratic equation has real and distinct roots: `k x^2+2x+1=0` (ii) `k x^2+6x+1=0` (iii) `x^2-k x+9=0`

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 given quadratic equation has real and distinct roots: (i) kx^(2)+2x+1=0 (ii) kx^(2)+6x+1=0 (iii) x^(2)-kx+9=0

Find the value of K for which the quadratic equation kx^(2)+2x+1=0, has real and distinct root.

Find the values of k for which the given quadratic equation has real and distinct roots: (i) kx^(2)+6x+1=0" "(ii)" "x^(2)-kx+9=0 (iii) 9x^(2)+3kx+4=0" "(iv)" "5x^(2)-kx+1=0

Find the value(s) of k for which the given quadratic equations has real and distinct roots : (i) 2x^(2)+kx+4=0 (ii) 4x^(2)-3kx+1=0 (iii) kx^(2)+6x+1=0 (iv) x^(2)-kx+9=0

Determine the value (s) of k for which the quadratic equation 4x^(2)-6kx+9=0 has real and distinct roots

In the following,determine the set of values of k for which the given quadratic equation has real roots: 3x^(2)+2x+k=0 (ii) 4x^(2)-3kx+1=0 (iii) 2x^(2)+kx-4=0

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

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

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

Find the values of k for which the given equation has real roots: 5x^(2)-kx+1=0

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. In the following, determine the set of values of k for which the...

    Text Solution

    |

  2. In the following, determine the set of values of k for which the...

    Text Solution

    |

  3. Find the values of k for which the given quadratic equation has ...

    Text Solution

    |

  4. The sum of a number and its reciprocal is 2 1/(30) . Find the numbe...

    Text Solution

    |

  5. A two digit number is such that the product of the digits is 14. Wh...

    Text Solution

    |

  6. Divide 16 into two parts such that twice the square of the larger p...

    Text Solution

    |

  7. The sum of the squares of two positive integers is 208. If the squa...

    Text Solution

    |

  8. If the sum of n successive odd natural numbers starting from 3 is 4...

    Text Solution

    |

  9. Find two consecutive numbers whose squares have the sum 85.

    Text Solution

    |

  10. Divide 29 into two parts so that the sum of the squares of the part...

    Text Solution

    |

  11. The sum of two numbers is 48 and their product is 432. Find the num...

    Text Solution

    |

  12. Find the whole number which when decreased by 20 is equal to 69 tim...

    Text Solution

    |

  13. Find two consecutive natural numbers whose product is 20.

    Text Solution

    |

  14. The sum of the squares of two consecutive odd positive integers is ...

    Text Solution

    |

  15. The sum of two numbers is 8 and 15 times the sum of their reciproca...

    Text Solution

    |

  16. The sum of a number and its square is 63//4 , find the numbers.

    Text Solution

    |

  17. There are three consecutive integers such that the square of the fi...

    Text Solution

    |

  18. The product of two successive integral multiples of 5 is 300. Deter...

    Text Solution

    |

  19. The sum of the squares of two numbers is 233 and one of the numbers...

    Text Solution

    |

  20. Find the consecutive even integers whose squares have the sum 340.

    Text Solution

    |