Home
Class 12
MATHS
If the roots of the equation (1)/(x+p)+(...

If the roots of the equation `(1)/(x+p)+(1)/(x+q)=(1)/(r ),(x ne -p, x ne -q, r ne 0)` are equal in magnitude but opposite in sign, then p+q is equal to

A

`r`

B

`2r`

C

`r^2`

D

`(1)/(r )`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos

  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos

  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

Find the roots of the equation x+(1)/(x)=3, x ne 0

Find the roots of the equation x-(1)/(3x)=(1)/(6)(x ne 0)

Find the roots of the equation (1)/(x)-(1)/(x-2)=3, x ne 0,2

The roots of the eqaution (q-r)x^(2)+(r-p)x+(p-q)=0 are

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

If the roots of the equation (q-r)x^(2)+(r-p)x+p-q=0 are equal, then show that p, q and r are in A.P.

If the roots of the equation q^2 x^2 + p^2 x + r^2 =0 are the squares of the roots of the equation qx^2 + px + r=0 , then p,q,r are in ………………….. .

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If omega ne 1" and "omega^(3)=1, the (a omega+b + c omega^(2))/(a omeg...

    Text Solution

    |

  2. The centre of a regular hexagon is at the point z=i. If one of its ver...

    Text Solution

    |

  3. If the roots of the equation (1)/(x+p)+(1)/(x+q)=(1)/(r ),(x ne -p, x ...

    Text Solution

    |

  4. The solution of the equation (3+2sqrt(2))^(x^(2)-8)+(3+2sqrt(2))^(8-x^...

    Text Solution

    |

  5. If -2-i is a root of the equation ax^(2)+12x+b=0 (where a and b are re...

    Text Solution

    |

  6. If one root of the equation lx^(2)+mx+n=0" is "(9)/(2) (l,m and n are ...

    Text Solution

    |

  7. If x^(2) +4 ax +2 gt 0 for all values of x, then a lies in the interva...

    Text Solution

    |

  8. If (x+iy)^(1/3)= 2+3i, then 3x+2y is equal to

    Text Solution

    |

  9. The modulus of the complex number z such that |z+3-i|=1" and "arg z= p...

    Text Solution

    |

  10. If z(1),z(2),"……"z(n) are complex numbers such that |z(1)|=|z(2)|="…."...

    Text Solution

    |

  11. The value of (cos 30^(@)+isin 30^(@))/(cos 60^(@)-isin 60^(@)) is equa...

    Text Solution

    |

  12. If z=r(cos theta+ isin theta), then the value of (z)/(bar z)+(barz)/(z...

    Text Solution

    |

  13. If z(1)= sqrt(2)(cos ""(pi)/(4)+ isin""(pi)/(4))" and "z(2)= sqrt(3)(c...

    Text Solution

    |

  14. The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal ...

    Text Solution

    |

  15. If (3)/(2)+(7)/(2)i is a solution of the equation ax^(2)-6x+b=0, where...

    Text Solution

    |

  16. If the roots of the equation x^(2)-bx+c=0 are two consecutive integers...

    Text Solution

    |

  17. If alpha" and "beta are the roots of the equation ax^(2)+bx+c=0, (c ne...

    Text Solution

    |

  18. If a and b are the roots of the equation x^(2)+ax+b=0, a ne 0, b ne 0,...

    Text Solution

    |

  19. If x^(2)+px+q=0 has the roots alpha" and "beta, then the value of (alp...

    Text Solution

    |

  20. The value of i-i^(2)+i^(3)-i^(4)+"……."-i^(100) is equal to

    Text Solution

    |