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

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

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

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

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

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

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

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

Find the values of k for which the given equation has real roots: 9x^2+3k x+4=0

Find the value of k for which the quadratic equation (k+4)x^2+(k+1)x+1=0 has equal roots

Find the value of k for which the given equation has real and equal roots: 2x^2-10 x+k=0 9x^2+3k x+4=0

find the values k for which the quadratic equation 2x^2 + Kx +3=0 has two real equal roots

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) k x^2+6x+1=0

RD SHARMA ENGLISH-QUADRATIC EQUATIONS-All Questions
  1. If the roots of the equation (a^2+b^2)x^2-2(a c+b d)x+(c^2+d^2)=0 are ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. If 1 is a root of the quadratic equation 3x^2+a x-2=0 and the quadrati...

    Text Solution

    |

  5. If 2 is a root of the quadratic equation 3x^2+p x-8=0 and the quadrati...

    Text Solution

    |

  6. Show that the equation 2(a^2+b^2)x^2+2(a+b)x+1=0 has no real roots, w...

    Text Solution

    |

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

    Text Solution

    |

  8. If a , b , c , are real number such that a c!=0, then show that at lea...

    Text Solution

    |

  9. Show that the roots of the equation: (x-a) (x -b) +(x- b) (x-c)+ (x- c...

    Text Solution

    |

  10. find the values of k so, that the equation (3k+1)x^2+2(k+1)x+1=0 has e...

    Text Solution

    |

  11. If the equation (1+m^2)x^2+2m c x+(c^2-a^2)=0 has equal roots, prove t...

    Text Solution

    |

  12. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |

  13. Find the values of p for whch the equadratic equation (2p+1)x^2-(7p+2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  17. 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

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |