Home
Class 12
MATHS
If p and q are the roots of the equation...

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`.

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Long Answer type question)|56 Videos

  • QUADRATIC EQUATIONS

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

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 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 , q are the roots of the equation x^(2)+px+q=0 , then

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).

If the roots of the equation 6x^3-11x^2+6x-1 =0 are in H.P., then the roots are

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

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

-alpha^2/beta and -beta^2/alpha are the roots of the equation 3x^2-18x+2=0 . Find the equation whose roots are alpha and beta ( alpha,beta real).

IF alpha and beta be the roots of the equation x^2+px+q=0 show that alpha/beta is a root of the equation qx^2-(p^2-2q)x+q=0 .

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.

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Short answer type question)
  1. IF 3p^2=5p+2and 3q^2=5q+2 where pne q , obtain the equation whose root...

    Text Solution

    |

  2. IF alpha and beta be the roots of the equation x^2-4x+10=0, find the e...

    Text Solution

    |

  3. If p and q are the roots of the equation 3x^2+6x+2=0, show that the eq...

    Text Solution

    |

  4. If the sum of the roots of a quadratic equation is 2 and the sum of th...

    Text Solution

    |

  5. If the sum of the roots of the equation x^2-px+q=0 be three times thei...

    Text Solution

    |

  6. If the roots of the equation ax^2+bx+c=0 are in the ratio 3:4 show tha...

    Text Solution

    |

  7. If one root of the equation x^2+(5a+2)x+5a+2=0 is five times the other...

    Text Solution

    |

  8. Find the quadratic equation whose roots are the cubes of the roots of ...

    Text Solution

    |

  9. The ratio of the roots of the equation ax^2+bx+c=0is r:1 Prove that, b...

    Text Solution

    |

  10. If the roots of the equation px^2+rx+r=0 are in the ratio a:b, prove t...

    Text Solution

    |

  11. In a quadratic equation of the form x^2+mx+n=0 the constant term is mi...

    Text Solution

    |

  12. For what value of m the roots of the equation (m+1)x^2+2(m+3)x+m+8=0 a...

    Text Solution

    |

  13. If one root of the equation x^2+bx+8=0 be 4 and the roots of the equat...

    Text Solution

    |

  14. For what value of m the roots of the equation 3/(x+3+m)+5/(x+5+m)=1 ar...

    Text Solution

    |

  15. Find the condition so that the roots of the equation a/(x-a)+b/(x-b)=5...

    Text Solution

    |

  16. Show that the roots of each of the following equations are rational(a,...

    Text Solution

    |

  17. Show that the roots of each of the following equations are rational(a,...

    Text Solution

    |

  18. Show that the roots of the equation (a^2-bc)x^2+2(b^2-ca)x+c^2-ab=0 ar...

    Text Solution

    |

  19. If one root of the equation qx^2+px+q=0 (p,q are real) be imaginary, s...

    Text Solution

    |

  20. If the roots of the equation qx^2+2px+2q=0 are real and unequal, prove...

    Text Solution

    |