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

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

A

`12(x-a)^(2)-4y^(2)=3a^(2)`

B

`9(x-a)^(2)-5y^(2)=2a^(2)`

C

`8x^(2)-3(y-a)^(2)=9a^(2)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 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:

Find the locus of the centre of the circle touching the line x+2y=0a n d x=2y

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

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 centres of all circles which touch the line x = 2a and cut the circle x^2 + y^2 = a^2 orthogonally is

The locus of the centre of the circle cutting the circles x^2+y^2–2x-6y+1=0, x^2 + y^2 - 4x - 10y + 5 = 0 orthogonally is

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

Find the locus of the center of the circle touching the circle x^2+y^2-4y-2x=4 internally and tangents on which from (1, 2) are making of 60^0 with each other.

The locus of centre of the circle touching x-axis nad the line y=x is

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.

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. about to only mathematics

    Text Solution

    |

  2. The condition that the chord xcosalpha+ysinalpha-p=0 of x^2+y^2-a^2=0 ...

    Text Solution

    |

  3. The locus of the centres of the circles which touch x^2+y^2=a^2 and x^...

    Text Solution

    |

  4. Let P be a point on the circle x^2+y^2=9,Q a point on the line 7x+y+3=...

    Text Solution

    |

  5. Two lines through (2, 3) from which the circle x^2+y^2 =25 intercepts ...

    Text Solution

    |

  6. A line meets the coordinate axes at A and B . A circle is circumscribe...

    Text Solution

    |

  7. Find the co-ordinate of the point on the circle x^2+y^2-12x-4y +30=0, ...

    Text Solution

    |

  8. If the angle of intersection of the circle x^2+y^2+x+y=0 and x^2+y^2+x...

    Text Solution

    |

  9. Find the equation of the circle whose radius is 5a n d which touches t...

    Text Solution

    |

  10. If AB is a diameter of a circle and C is any point on the circle, then...

    Text Solution

    |

  11. The locus of the midpoint of a chord of the circle x^2+y^2=4 which sub...

    Text Solution

    |

  12. The point of which the line 9x + y - 28 = 0 is the chord of contact of...

    Text Solution

    |

  13. If the tangents are drawn to the circle x^2+y^2=12 at the point where ...

    Text Solution

    |

  14. If the straight line x=2y+1=0 intersects the circle x^2+y^2=25 at poin...

    Text Solution

    |

  15. If the chord of contact of the tangents drawn from the point (h , k) t...

    Text Solution

    |

  16. Find the equation of the circle which cuts the three circles x^2+y^2-3...

    Text Solution

    |

  17. The equation of a circle which passes through (2a, 0) and whose radica...

    Text Solution

    |

  18. If the circle x^2+y^2+2gx+2fy+c=0 bisects the circumference of the cir...

    Text Solution

    |

  19. If the pole of a straight line with respect to the circle x^(2)+y^(2)=...

    Text Solution

    |

  20. Find the equation of the chord of the circle x^2+y^2=9 whose middle po...

    Text Solution

    |