Home
Class 12
MATHS
IF p^2/qand q^2/p are the roots of the e...

IF `p^2/q`and `q^2/p` are the roots of the equation `2x^2+7x-4=0`, find the equation whose roots are p and q (p+q real).

Text Solution

Verified by Experts

The correct Answer is:
`x^2-x-2=0`
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5B(Multiple Choice type question)|5 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5B(Very short answer type question)|11 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Short answer type question)|48 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equation x^2+px+q =0, then

If p and q are the roots of the equation 3x^2+6x+2=0 , show that the equation whose roots are (-p^2/q) and (-q^2/p) is 3x^2-18x+2=0 .

If , p , q are the roots of the equation x^(2)+px+q=0 , then

IF alpha,beta be the roots of the quadratic equation x^2-px+q=0 , find the equation whose roots are q/(p-alpha) and q/(p-beta) .Accound for the identity of the equation obtained with the given equation.

If the ratio of the roots of the equation x^2-px+q=0 be 1:2 , find the relation between p and q.

If p and q are the two roots of the equation x^2 + px + q = 0 , then find the value of p____

Express the roots of the equation q^2x^2-(p^2-2q)x+1=0 in terms of those of x^2+px+q=0 .

If the sum of square of roots of the equation x^2+(p+i q)x+3i=0 is 8, then find the value of p and q , where p and q are real.

If the roots of a quadratic equation be p+q and p-q, then find the equation.

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Long Answer type question)
  1. IF alpha,beta be the roots of the equation x^2+x+1=0, form the equatio...

    Text Solution

    |

  2. IF alpha,beta be the roots of the quadratic equation x^2-px+q=0, find ...

    Text Solution

    |

  3. IF p^2/qand q^2/p are the roots of the equation 2x^2+7x-4=0, find the ...

    Text Solution

    |

  4. IF alpha,beta be the roots of the equation x^2+2px+2q^2=0 where p,q ar...

    Text Solution

    |

  5. IF alpha,beta be the roots of the equation cx^2+2bx+2c=0 where b,c ar...

    Text Solution

    |

  6. Express the roots of the equation q^2x^2-(p^2-2q)x+1=0 in terms of tho...

    Text Solution

    |

  7. If the roots of the quadratics x^2+2px+q=0 and x^2+2qx+p=0(pneq) diffe...

    Text Solution

    |

  8. If one root of the equation ax^2+bx+c=0 is the square of the other, pr...

    Text Solution

    |

  9. If one root of the equation ax^2+bx+c=0 is the cube of the other, prov...

    Text Solution

    |

  10. If the roots of the equation ax^2+bx+c=0 are two consecutive integers ...

    Text Solution

    |

  11. IF alpha and beta be the roots of ax^2+2bx+c=0 and alpha+delta,beta+de...

    Text Solution

    |

  12. If the ratio of the roots of the equation x^2-2px+q^2=0 be equal to th...

    Text Solution

    |

  13. IF alpha and beta be the roots of the equation x^2+px+q=0 show that al...

    Text Solution

    |

  14. IF p^3-q(3p-1)+q^2=0 , find the relation between the roots of the equa...

    Text Solution

    |

  15. Let a,b,c be real numbers with ane0 and let alpha,beta be the roots of...

    Text Solution

    |

  16. IF alpha be a root of the quadratic equation 4x^2+2x-1=0, Let prove th...

    Text Solution

    |

  17. Letalpha,beta be the roots of the equation x^2-3x+a=0 and gamma,delta ...

    Text Solution

    |

  18. IF a,b,c are real, show that the roots of each of the following equati...

    Text Solution

    |

  19. IF a,b,c are real, show that the roots of each of the following equati...

    Text Solution

    |

  20. IF a,b, are real, show that the roots of each of the following equatio...

    Text Solution

    |