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

    OBJECTIVE RD SHARMA|Exercise Exercise|132 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|59 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle which passes through the points (1, 3 ) and (2, - 1 ) , and has its centre on the line 2x + y - 4 = 0

Find the equation of the circle which has its centre at the point (3,4) and touches the straight line 5x+12y-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 equation of a circle which has a tangent 3x+4y=6 and two normals given by (x-1)(y-2)=0 is

Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7y-4=0 orthogonally, has its centre on the line x=2 and passes through the point (4,-1).

The equation of the circle with radius 3 and centre as the point of intersection of the lines 2x+3y=5,2x-y=1 is

Equation of the circle with centre at (1,-2) , and passing through the centre of the circle x^(2) + y^(2) + 2y - 3 = 0 , is

The equation of the circle which has normals x-1)*(y-2)=0 and a tangent 3x+4y=6 is x^(2)+y^(2)-2x-4y+4=0x^(2)+y^(2)-2x-4y+5=0x^(2)+y^(2)=5(x-3)^(2)+(y-4)^(2)=5

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. The point on the straight line y = 2x + 11 which is nearest to the cir...

    Text Solution

    |

  2. Extremities of a diagonal of a rectangle are (0, 0) and (4, 3). The eq...

    Text Solution

    |

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

    Text Solution

    |

  4. The angle of intersection of the circles x^(2)+y^(2)=4 and x^(2)+y^(2...

    Text Solution

    |

  5. The normal at the point (3, 4) on a circle cuts the circle at the poin...

    Text Solution

    |

  6. The inverse point of (1, -1) with respect to x^(2)+y^(2)=4, is

    Text Solution

    |

  7. A variable circle passes through the fixed point (2, 0) and touches y-...

    Text Solution

    |

  8. The radius of the circle r^(2)-2sqrt(2r) (cos theta + sin theta)-5=0, ...

    Text Solution

    |

  9. A straight line of length 9 units slides with ends A, B always on x an...

    Text Solution

    |

  10. The radius of the larger circle lying in the first quadrant and touchi...

    Text Solution

    |

  11. A line is at a distance 'c' from origin and meets axes in A and B. The...

    Text Solution

    |

  12. The number of circles that touch all the straight lines x+y-4=0, x-y+2...

    Text Solution

    |

  13. Find the number of integral values of lambda for which x^2+y^2+lambdax...

    Text Solution

    |

  14. Show that the four points of intersection of the lines : (2x-y + 1) (x...

    Text Solution

    |

  15. If 2x+3y-6=0 and 9x+6y-18=0 cuts the axes in concyclic points, then th...

    Text Solution

    |

  16. The line lx+my+n=0 intersects the curve ax^2 + 2hxy + by^2 = 1 at the ...

    Text Solution

    |

  17. Two circles, each of radius 5, have a common tangent at (1, 1) whose e...

    Text Solution

    |

  18. PQ is a chord of the circle x^(2)+y^(2)-2x-8=0 whose mid-point is (2, ...

    Text Solution

    |

  19. The number of circles belonging to the system of circles 2(x^(2)+y^(2)...

    Text Solution

    |

  20. The equation of the circle passing through (0, 0) and belonging to the...

    Text Solution

    |