Home
Class 12
MATHS
The equation of the circle which has a t...

The equation of the circle which has a tangent `2x-y-1=0` at (3, 5) on it and with the centre on `x+y=5`, is

A

`x^(2) +y^(2) + 6x -16y + 28 =0`

B

`x^(2) +y^(2) - 6x + 16y - 28 =0`

C

` x^(2) +y^(2) +6x + 6y -28 =0`

D

`x^(2)+ y^(2) - 6x - 6y - 28 =0`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    VMC MODULES ENGLISH|Exercise LEVEL-2|50 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise NUMERICAL VALUE TYPE FOR JEE MAIN|15 Videos
  • CIRCLES

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ( ARCHIVE )|68 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

Find the equation of the circle centre C(1,2) and tangent x+y-5 =0

Find the equation of the circle which has centre C (3, 1) and which touches the line 5x-12y + 10 = 0.

The equation of the circle which passes through the point A(0, 5) and B(6, 1) and whose centre lies on the line 12x+5y=25 is

The equation of the circle which passes through the point A(0, 5) and B(6, 1) and whose centre lies on the line 12x+5y=25 is

Find the equation of the circle which passes through the points (5,0) and (1,4) and whose centre lies on the line x + y - 3 = 0.

Find the equation of the circle which touches the lines 4x-3y+10=0a n d4x-3y-30=0 and whose centre lies on the line 2x+y=0.

Find the equation of the circle which passes through the points (3, -2), (-2, 0) and has its centre on the line 2x - y =3.

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12 y-1=0.

Find the equation of the circle which passes through the points (3,7), (5,5) and has its centre on the line x-4y=1.

The radius of the circle which has the lines x+y-1=0, x+y-9=0 as tangents is

VMC MODULES ENGLISH-CIRCLES-LEVEL-1
  1. The coordinates of the points on the circles x^(2) +y^(2) =9 which are...

    Text Solution

    |

  2. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  3. The equation of the circle which has a tangent 2x-y-1=0 at (3, 5) on i...

    Text Solution

    |

  4. If the tangent from a point p to the circle x^2+y^2=1 is perpendicula...

    Text Solution

    |

  5. If the circle x^(2)+y^(2)+4x+22y+c=0 bisects the circumference of the ...

    Text Solution

    |

  6. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  7. The equation of the tangent to the circle x^2+y^2=a^2, which makes a t...

    Text Solution

    |

  8. The locus of the mid-points of the chords of the circle x^2+ y^2-2x-4...

    Text Solution

    |

  9. Find the equation of a circle with center (4, 3) touching the circle x...

    Text Solution

    |

  10. Find the equation of the circle whose radius is 3 and which touches ...

    Text Solution

    |

  11. Let f(x,y)=0 be the equation of a circle. If f(0,lamda)=0 has equal ro...

    Text Solution

    |

  12. Find the equation of the circle passing through the point of intersect...

    Text Solution

    |

  13. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |

  14. The angle subtended by the chord x +y=1 at the centre of the circle x^...

    Text Solution

    |

  15. The locus of the centre of the circles which touches both the axes is ...

    Text Solution

    |

  16. The circumcentre of the triangle formed by the lines, xy + 2x + 2y + 4...

    Text Solution

    |

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

    Text Solution

    |

  18. The line ax+by+by+c=0 is normal to the circle x^(2)+y^(2)+2gx+2fy+d=0...

    Text Solution

    |

  19. If the points (2, 0), (0, 1), (4, 5)and (0, c) are concyclic, then th...

    Text Solution

    |

  20. If a circle of constant radius 3k passes through the origin O and meet...

    Text Solution

    |