Home
Class 11
MATHS
If circles x^(2) + y^(2) + 2g(1)x + 2f(...

If circles ` x^(2) + y^(2) + 2g_(1)x + 2f_(1)y = 0` and
` x^(2) + y^(2) + 2g_(2)x + 2f_(2)y = 0 ` touch each other, then

A

` f_(1) f_(2) = =g_(1) g_(2)`

B

`f_(1) g_(1) = f_(2) g_(2)`

C

`(f_(1) g_(1))^(2) = (f_(2) g_(2))^(2) `

D

`f_(1) g_(2) = f_(2) g_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

If the two circles,x^(2)+y^(2)+2g_(1)x+2f_(1)y=0delta x^(2)+y^(2)+2g_(2)x+2f_(2)y=0 touch each other then (1)f_(1)g_(1)=f_(2)g_(2)(2)(f_(1))/(g_(1))=(f_(2))/(g_(2))(3)f_(1)f_(2)=g_(1)g_(2)(4) none of these

If circles x^(2) + y^(2) = 9 " and " x^(2) + y^(2) + 2ax + 2y + 1 = 0 touch each other , then a =

If circles x^(2) + y^(2) + 2gx + 2fy + e = 0 and x^(2) + y^(2) + 2x + 2y + 1 = 0 are orthogonal , then 2g + 2f - e =

If circles x^(2) + y^(2) + 2gx + 2fy + c = 0 and x^(2) + y^(2) + 2x + 2y + 1 = 0 are orthogonal , then 2g + 2f - c =

The circles ax^(2)+ay^(2)+2g_(1)x+2f_(1)y+c_(1)=0" and "bx^(2)+by^(2)+2g_(2)x+2f_(2)y+c_(2)=0 (ane0and bne0) cut orthogonally, if

Two circles x^(2) + y^(2) -2kx = 0 and x^(2) + y^(2) - 4x + 8y + 16 = 0 touch each other externally.Then k is

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. The radius of the circle, having centre at (2, 1), whose one of the ch...

    Text Solution

    |

  2. Find the equation of the circle which touches the circle x^(2) + y^(...

    Text Solution

    |

  3. If circles x^(2) + y^(2) + 2g(1)x + 2f(1)y = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  4. The locus of the point whose co-ordinates are x = 3 cos theta + 2 ...

    Text Solution

    |

  5. The radius of the circle t^(2) x^(2) + t^(2) y^(2) - 2at^(3) x - 2...

    Text Solution

    |

  6. If the origin lies inside the circle x^(2) + y^(2) + 2gx + 2fy + c...

    Text Solution

    |

  7. If the co-ordinates of a point P are x = at^(2), y = a sqrt(1 - t...

    Text Solution

    |

  8. Equation of circle which passes through (-1,2) and (1,2) , and touc...

    Text Solution

    |

  9. If a square is inscribed in the circle x^(2) + y^(2) + 2gx +2fy + c= ...

    Text Solution

    |

  10. The equation x^(2) + y^(2) + 2gx + 2fy + c = 0 represents a circle o...

    Text Solution

    |

  11. If r(1), r(2) " and " r(3) are the radii of the circle x^(2) + y^(2)...

    Text Solution

    |

  12. If the lines 5x - 12y = 5 " and " 10x - 24y + 3 = 0 are tangents ...

    Text Solution

    |

  13. If the circle described on the join of (2,3) and (3,a) as a diameter p...

    Text Solution

    |

  14. The radius of the circle, having centre at (2, 1), whose one of the ch...

    Text Solution

    |

  15. Area of the circle x^(2) + y^(2) + 2 cos theta sin phi * x + 2 s...

    Text Solution

    |

  16. The sides of a square are x=2,x=3,y=1andy=2. Find the equation of the ...

    Text Solution

    |

  17. If the equation 3x^(2) + 3y^(2) + kxy + 9x + (k - 6) y + 3 = 0 rep...

    Text Solution

    |

  18. If the two circle x^(2) + y^(2) - 3x + ky - 5 = 0 and 4x^(2) ...

    Text Solution

    |

  19. Equation of the chord of the circle x^(2) + y^(2) - 4x = 0 whose mi...

    Text Solution

    |

  20. Find the equation of the circle passing through the origin and the ...

    Text Solution

    |