Home
Class 12
MATHS
Form quadratic equation whose roots are ...

Form quadratic equation whose roots are :
`(m)/(n), (n)/(m) (m ne 0, n ne 0)`

Text Solution

Verified by Experts

The correct Answer is:
`therefore mnx^(2)-(m^(2)-n^(2)) x -mn=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Questions|8 Videos
  • PROBABILITY

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise DAM SURE|13 Videos
  • QUESTION PAPER -2019

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Long Answer Type questions|7 Videos

Similar Questions

Explore conceptually related problems

Form quadratic equation whose roots are : (p-q)/(p+q), (-p+q)/(p-q), (p ne pm q)

Form quadratic equation whose root (p-q)/(p+q),(-p+q)/(p-q), (p ne pm q)

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .

Find the roots of the following quadratic equations by factorisation: x - (3)/(x) = 2(x ne 0)

Find the roots of the quadratic equations by factorisation: x-(3)/(x)=2 (x ne 0)

Show that the equation of the tangent to the curve (x/a)^(n)+(y/b)^(n)=2(a ne 0, b ne 0) at the point (a,b) is x/a+y/b=2

Form the equation whose roots are m times the roots of the equation x^3+(x^2)/(4)-x/(16)+1/(72)=0 and deduce the case when m =12 .

The equation whose roots are the arthmatic mean and twice the H.M between the roots of the equation x^2 + ax -b=0 is

(m + n) (m - n) = ___

Find the values of k for each of the quadratic equations, so that they have two equal roots. kx(x-2)+6=0 (k ne 0)

VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-QUADRATIC EXPRESSIONS-TEXTUAL EXERCISES
  1. Find the roots of the following equations. 6sqrt(5)x^(2)-9x-3sqrt(5)...

    Text Solution

    |

  2. Form quadratic equation whose roots are : 2,5

    Text Solution

    |

  3. Form quadratic equation whose roots are : (m)/(n), (n)/(m) (m ne 0, ...

    Text Solution

    |

  4. Form quadratic equation whose roots are : (p-q)/(p+q), (-p+q)/(p-q),...

    Text Solution

    |

  5. Form quadratic equation whose root 7 pm 2sqrt(5)

    Text Solution

    |

  6. Form quadratic equation whose roots are : -3 pm 5i

    Text Solution

    |

  7. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  8. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  9. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  10. Find the nature of the roots of the following equation, without findin...

    Text Solution

    |

  11. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  12. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  13. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  14. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  15. If alpha, beta are the roots of the equation ax^(2)+bx+c=0, find the v...

    Text Solution

    |

  16. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  17. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  18. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  19. Find the values of m for which the following equations have equal root...

    Text Solution

    |

  20. Find the values of m for which the following equations have equal root...

    Text Solution

    |