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 `P( 3,5)` on it and with centre on `x+y-5=0` 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 ENGLISH|Exercise Exercise|132 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

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

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

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

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

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

The equation of a circle with centre (4,1) and having 3x+4y-1=0 as tangent 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.

Write the equation of the circle having radius 5 and tangent as the line 3x-4y+5=0 at (1,2)

Find the equation of the circle which has radius 5 units and which is tangent to the line 3x+4y-16=0 at the point (4, 1).

OBJECTIVE RD SHARMA ENGLISH-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 P( 3,5) on...

    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 poins...

    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 point A(a,b) and touches the x-a...

    Text Solution

    |

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

    Text Solution

    |

  9. A straight rot of length 9 units slides with its ends A,B always on th...

    Text Solution

    |

  10. Find in-radius of the triangle formd by the axes and the line 4x+3y-12...

    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. The four points of intersection of the lines (2x-y+1)(x-2y+3)=0 with t...

    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. If (-1/3,-1) is a centre of similitude for the circles x^2+y^2=1 and x...

    Text Solution

    |