Home
Class 12
MATHS
The locus of the center of the circle wh...

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

A

`x^(2) -6x -10y + 14 =0`

B

`x^(2) - 10x - 6y + 14 = 0`

C

`y^(2) -6x - 10y + 14 = 0`

D

`y^(2) - 10x - 6y + 14 = 0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

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

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 the circle which moves such that it touches the circle (x + 1)^(2) + y^(2) = 1 externally and also the y-axis 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.

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

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

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 __________ .

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

The equation of the circle which touches the circle x^2+y^2-6x+6y+17 = 0 externally and to which the lines x^2-3 xy-3x + 9y = 0 are normals, is

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. The equation of a circle which touches the line x +y= 5 at N(-2,7) and...

    Text Solution

    |

  2. If centre of a circle lies on the line 2x - 6y + 9 =0 and it cuts the ...

    Text Solution

    |

  3. The locus of the center of the circle which touches the circle x^(2)+y...

    Text Solution

    |

  4. If 3x+y=0 is a tangent to a circle whose center is (2,-1) , then find ...

    Text Solution

    |

  5. Find the area of the triangle formed by the tangents from the point (4...

    Text Solution

    |

  6. If the chord of contact of the tangents drawn from a point on the ci...

    Text Solution

    |

  7. Find the locus of the point of intersection of tangents to the circle ...

    Text Solution

    |

  8. A circle of constant radius 2r passes through the origin and meets the...

    Text Solution

    |

  9. A square is inscribed in the circle x^2+y^2-2x+4y+3=0 . Its sides are ...

    Text Solution

    |

  10. Two vertices of an equilateral triangle are (-1,0) and (1, 0), and its...

    Text Solution

    |

  11. If the chord y=m x+1 of the circles x^2+y^2=1 subtends an angle of 45^...

    Text Solution

    |

  12. Tangents OP and OQ are drawn from the origin o to the circle x^2 ...

    Text Solution

    |

  13. The equation of the circle which passes through (2a, 0) and has the ra...

    Text Solution

    |

  14. Find the locus of mid-points of the chords of the circle 4x^(2)+4y^(2)...

    Text Solution

    |

  15. Area of a circle in which a chord of length sqrt2 makes an angle (pi)/...

    Text Solution

    |

  16. If 3x + b(1)y + 5 =0 and 4x + b(2)y + 10 = 0 cut the x-axis and y-axis...

    Text Solution

    |

  17. If the circle x^(2) + y^(2) -4x - 8y + 16 =0 rolls up the tangent to i...

    Text Solution

    |

  18. If two tangents are drawn from a point to the circle x^(2) + y^(2) =3...

    Text Solution

    |

  19. The radical centre of three circles described on the three sides 4x-7y...

    Text Solution

    |

  20. Find the equation of the circle passing through (1,0)a n d(0,1) and ha...

    Text Solution

    |