Home
Class 12
MATHS
The locus of the centres of circles whic...

The locus of the centres of circles which touches `(y-1)^(2)+x^(2)=1` externally and also touches X-axis is

A

`{x^(2) = 4y,y ge 0 } uu { (0,y), y lt 0}`

B

`x^(2) =y`

C

`y = 4x^(2)`

D

` y^(2) = 4x uu ( 0,y ) , y in R `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE MAIN ( ARCHIVE )|29 Videos
  • BINOMIAL THEOREM

    VMC MODULES ENGLISH|Exercise JEE Archive|56 Videos
  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

Similar Questions

Explore conceptually related problems

Locus of the centre of the circle which touches x^2+y^2 - 6x-6y+14 =0 externally and also y-axis is:

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

The locus of the centres of the circles which touch x^2+y^2=a^2 and x^2+y^2=4ax, externally

The locus of the centres of the circles which touch x^2+y^2=a^2 and x^2+y^2=4ax , externally

Consider the locus of center of the circle which touches the circle x^(2)+y^(2)=4 externally and the line x=4. The distance of the vertex of the locus from the otigin is __________ .

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

The centres of those circles which touch the circle, x^2+y^2-8x-8y-4=0 , externally and also touch the x-axis, lie on : (1) a circle. (2) an ellipse which is not a circle. (3) a hyperbola. (4) a parabola.

The locus of the centre of a circle the touches the given circle externally is a _______

The locus of the centre of a circle which touches externally the circle x^2 + y^2-6x-6y+14 = 0 and also touches Y-axis, is given by the equation (a) x2-6x-10y+14 = 0 (b) x2-10x-6y + 14 = 0 (c) yr_6x-10y+14-0 (d) y,2-10x-6y + 14 = 0

The locus of the center of a circle which touches the circles |z-z_1|=a, |z-z_2=b| externally will be

VMC MODULES ENGLISH-CIRCLES-JEE ADVANCED ( ARCHIVE )
  1. Two circles, each of radius 5 units, touch each other at (1, 2). If th...

    Text Solution

    |

  2. The centres of two circles C(1)andC(2) each of unit radius are at a di...

    Text Solution

    |

  3. The locus of the centres of circles which touches (y-1)^(2)+x^(2)=1 ex...

    Text Solution

    |

  4. If two distinct chords, drawn from the point (p, q) on the circle x^2+...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The center(s) of the circle(s) passing through the points (0, 0) and ...

    Text Solution

    |

  7. Show that the equation of the circle passing through (1, 1) and the ...

    Text Solution

    |

  8. Two circle x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Then the equation o...

    Text Solution

    |

  9. about to only mathematics

    Text Solution

    |

  10. The intercept on the line y=x by the circle x^(2)+y^(2)-2x=0 is AB. Eq...

    Text Solution

    |

  11. about to only mathematics

    Text Solution

    |

  12. The points of intersection of the line 4x-3y-10=0 and the circle x^2+y...

    Text Solution

    |

  13. about to only mathematics

    Text Solution

    |

  14. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let S -= x^(2)+y^(2)+2gx+2fy+c=0 be a given circle. Find the locus o...

    Text Solution

    |

  17. about to only mathematics

    Text Solution

    |

  18. Find the equations of the circles passing through the point (-4,3) and...

    Text Solution

    |

  19. Find the equation of a circle which passes through the point (2,0) ...

    Text Solution

    |

  20. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |