Home
Class 10
MATHS
In the following, determine the set o...

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

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

In the following,determine the set of values of k for which the given quadratic equation has real roots: 2x^(2)-5x-k=0 (ii) kx^(2)+6x+1=0

In the following,determine the set of values of k for which the given quadratic equation has real roots: x^(2)-kx+9=0 (ii) 2x^(2)+kx+2=0

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

In the following determine the set of values of k for which the given quadratic equation has real roots : (i) 2x^(2)+5x-k=0 (ii) kx^(2)-6x-2=0 (iii) 9x^(2)+3kx+4=0 (iv) kx^(2)+2x-3=0

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

Determine the value of k for which the quadratic equation 4x^(2)-3kx+1=0 has 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: 9x^(2)+3kx+4=0

RD SHARMA-QUADRATIC EQUATIONS-All Questions
  1. Find the values of k for which the roots are real and equal in t...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |