Home
Class 12
MATHS
If the ratio of the roots of the equatio...

If the ratio of the roots of the equation `px^(2) + qx + r=0` is a:b, then `(ab)/(a+b)^(2)`=

A

`p^(2)/(qr)`

B

`(pr)/q^(2)`

C

`q^(2)/(pr)`

D

`(pq)/r^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2010

    WB JEE PREVIOUS YEAR PAPER|Exercise DESCRIPTIVE TYPE QEUSTIONS|10 Videos

  • QUESTION PAPER 2012

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If the ratio of the roots of the equation px^2+qx+r is a:b, then ab/(a+b)^2 =

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

If the roots of the equation px^(2)+qx+r=0(pne0) be equal, then q=2sqrt(pr) .

The sum of the real roots of the equation abs(x)^2+absx-6 =0 is

If the ratio of the roots of the equation x^2-2px+q^2=0 be equal to the ratio of the roots of the equation x^2-2rx+s^2=0 , Prove that, p^2s^2=q^2r^2 .

IF the ratio of the roots of equation x^2+px+q=0 be a:b prove that, p^2ab=q(a+b)^2 Hence, find the condition of equal roots of the given equation.

If the ratio of the roots of the equation x^2+p x+q=0 are equal to ratio of the roots of the equation x^2+b x+c=0 , then prove that p^2c=b^2qdot

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 secalpha and cosecalpha are the roots of the equation x^2-px+q=0 , then

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2011-MULTIPLE CHOICE QUESTIONS
  1. ""^(15)C(3) + ""^(15)C(5) + ……… +""^(15)C(15) =

    Text Solution

    |

  2. Let a, b, c be three real numbers such that a + 2b + 4c = 0. Then the ...

    Text Solution

    |

  3. If the ratio of the roots of the equation px^(2) + qx + r=0 is a:b, th...

    Text Solution

    |

  4. If alpha and beta are the roots of the equation x^2 + x + 1=0 , then...

    Text Solution

    |

  5. For the real parameter t, the locus of the complex number: z=(1-t^(2...

    Text Solution

    |

  6. If x + 1/x = 2cos theta, then for any integer n, x^(n) + 1/x^(n) =

    Text Solution

    |

  7. If omega ne 1 is a cube root of unity, then the sum of the series S...

    Text Solution

    |

  8. If log(3)x + log(3)y =2 + log(3)2 and log(3)(x+y) =2, then

    Text Solution

    |

  9. If log(7)2 = lambda, then the value of log(49) (28) is:

    Text Solution

    |

  10. The sequence log a, log (a^(2)/b), log (a^(3)/b^(2)) is:

    Text Solution

    |

  11. If in a triangle ABC, sin A, sin B, sin C are in A.P, then

    Text Solution

    |

  12. |{:(a-b, b-c, c-a),(b-c, c-a, a-b),(c-a, a-b, b-c):}|=

    Text Solution

    |

  13. The area enclosed between y^(2) = x and y=x is:

    Text Solution

    |

  14. Let f(x) = x^(3) e^(-3x) , x gt 0. Then the maximum value of f(x) is:

    Text Solution

    |

  15. The area bounded by y^(2) = 4x and x^(2) = 4y is:

    Text Solution

    |

  16. The acceleration of a particle starting from rest moving in a straight...

    Text Solution

    |

  17. The solution of: (dy)/(dx) = y/x + tan y/x is:

    Text Solution

    |

  18. Integrating Factor (I.F). Of the differential equation: (dy)/(dx) -...

    Text Solution

    |

  19. The differential equation of y=ae^(bx) (a & b are parameters) is:

    Text Solution

    |

  20. The value of: lim(n to infty) sum(r=1)^(n) r^(2)/(r^(3) + n^(3)) is:

    Text Solution

    |