Home
Class 12
MATHS
The locus of the centre of a circle whic...

The locus of the centre of a circle which touches externally two given circles is

A

a hyperbola

B

an ellipse

C

a parabola

D

a circle

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of a circle which touches externally the circle x^(2)+y^(2)-6 x-6 y+14=0 and also touches the y -axis is given by the equation

Locus of the centre of a circle which touches given circle externally is :

The locus of the centre of the circleS which touches both the axes is given by

The locus of the centre of a circle which cuts orthogonally the circle x^2+y^2 -20x+4=0 and which touches x = 2 is :

The locus of the centre of a circle which touches the circles |z-z_(1)|=a and |z-z_(2)|=b externally is

The equation of the four circles are (x pm a)^2 + (y pm a)^2 = a^2 . The radius of the smallest circle, which touches all the four circles, is:

The locus of the centre of the circle for which one end of the diameter is (3,3) while the other end lies on the line x+y=4 is

Two concentric circle of radii 5 cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circles.

Two concentric circles of radii 5cm and 3cm are drawn. Find the length of the chord of the larger circle which touches the smaller circle.

The locus of the centre of the circle in which the chord joining the points (1,2) and (2,-1) subtends an anglt (pi)/(4) at any point on the circumference is

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle which touches both the axes and the line 4...

    Text Solution

    |

  2. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  3. The locus of the centre of a circle which touches externally two given...

    Text Solution

    |

  4. Given that the circleS x^(2)+y^(2)-2 x+6 y+6=0 and x^(2)+y^(2)-5 x+6 ...

    Text Solution

    |

  5. The locus of the centre of the circle which cuts the circles x^(2)...

    Text Solution

    |

  6. Length of tangent drawn from any point on the circle x^2+y^2+2gx + 2fy...

    Text Solution

    |

  7. The radius of the circle 16 x^(2)+16 y^(2)-8 x+32 y-256=0 is

    Text Solution

    |

  8. The length of the intercept that a circle x^(2)+y^(2)+10 x-6 y+9=0 ma...

    Text Solution

    |

  9. The radius of the circle 3 x(x-2)+3 y(y+1)=4 is

    Text Solution

    |

  10. The equation of the tangtnt to the circle x^(2)+y^(2)+2 g x+2 f y+c=0...

    Text Solution

    |

  11. The two circles x^(2) + y^(2) -2x + 6y + 6 = 0 and x^(2) + y^(2) -5x +...

    Text Solution

    |

  12. The equation of the circle circumscribing the triangle formed by the ...

    Text Solution

    |

  13. The circle x^(2)+y^(2)-8 x+4 y+4=0

    Text Solution

    |

  14. The equation of the circle passing through the points (1, 0) and (0, 1...

    Text Solution

    |

  15. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  16. The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

    Text Solution

    |

  17. The radical axis of the two circleS and the line of centres of those ...

    Text Solution

    |

  18. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  19. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  20. If (x(i), (1)/(x(i))), i=1,2,3,4 are four distinct points on the circl...

    Text Solution

    |