Home
Class 12
MATHS
IF the roots of (1) /(x +a) + (1)/(...

IF the roots of `(1) /(x +a) + (1)/(x +b)=(1)/(c )` are equal in magnitude and opposite in sign then the product of the roots is

A

`-1/2 (a^2+b^2)`

B

`1/2 (a^2 +b^2)`

C

`-3/2(a^2+b^2)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1B (QUADRATIC EXPRESSIONS)|106 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -1)|4 Videos
  • QUADRATIC EXPRESSIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPECIAL TYPE QUESTIONOS ) ( SET -4)|4 Videos
  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos
  • RELATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|49 Videos

Similar Questions

Explore conceptually related problems

If the roots of (1)/(x+a)+ (1)/(x+b)= (1)/(c) are equal in magnitude and opposite in sign, then the product of roots is

IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are equal in magnitude and opposite in sign , then p+q +r=

The roots of x = 1/x are…

IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnitude but oppposite insign , then

The two quantities are equal in magnitude but opposite in sign

If the roots (1)/(x+k+1)+(2)/(x+k+2)=1 are equal in magnitude but opposite in sign, then k =

IF the roots of ax^2+bx +c=0 are equal in magnitude but opposite in sign then

If two of the roots of 8x^(4) - 2x^(3) - 27x^(2) + 6x + 9 = 0 are being equal in magnitude but opposite in sign then the roots are

DIPTI PUBLICATION ( AP EAMET)-QUADRATIC EXPRESSIONS-EXERCISE 1A (QUADRATIC EQUATIONS)
  1. IF one root of ax ^2 +bx +c=0 is equal to nth power of the othe...

    Text Solution

    |

  2. IF x,a,b,c are real and (x-a+b^2)+(x-b+c)^2=0 then a,b,c are in

    Text Solution

    |

  3. IF the roots of (1) /(x +a) + (1)/(x +b)=(1)/(c ) are equal in ...

    Text Solution

    |

  4. IF the roots of the equation (1)/(x+p) +(1)/(x+q) =(1)/(r ) are ...

    Text Solution

    |

  5. IF (1)/(x) +(1)/(x+a) =(1)/(m)+(1)/(m+a) has roots equal in magnit...

    Text Solution

    |

  6. IF the roots of a^2x^2-abx +c=0 are consecutive integers , then ...

    Text Solution

    |

  7. If r is the ratio of the roots of ax ^2 + bx +C=0 then ((r +1)^2)...

    Text Solution

    |

  8. IF the roots of ax^2 +bx +c=0 are of the form (m+1)/(m ) ,(m+2)/...

    Text Solution

    |

  9. IF (a alpha + b )^(-2)+ ( abeta + b)^(-2) =1 , where alpha , b...

    Text Solution

    |

  10. IF the equation x^2 +2(k+1)x+9k-5=0 has only negative roots , th...

    Text Solution

    |

  11. All the values of m for which both roots of the equation x^2-...

    Text Solution

    |

  12. The values of a for which of a for which 2x^2-2(2a +1)x+a(a+1) =...

    Text Solution

    |

  13. The value of a for which the equation (1-a ^2)x^2+2ax -1 has roo...

    Text Solution

    |

  14. The value of a for which each one of the roots of x^2-4ax+2a^...

    Text Solution

    |

  15. The value of 'a' for which one root of the quadratric equation ...

    Text Solution

    |

  16. IF both the roots of the quadratic equation x^2-2kx+k^2 +k -5=0 a...

    Text Solution

    |

  17. If roots of the equation x^2-bx +c=0 be two consecutive intege...

    Text Solution

    |

  18. p and q are distinct prime numbers and if the equation x^2 -px ...

    Text Solution

    |

  19. IF both the roots of the equation x^2 -6ax+2-2a +9a^2 =0 exceed 3...

    Text Solution

    |

  20. If the roots of x^2+x+a=0 exceed , a then

    Text Solution

    |