Home
Class 12
MATHS
The equation of the circle of radius 2sq...

The equation of the circle of radius `2sqrt(2)` whose centre lies on the line `x-y=0` and which touches the line `x+y=4`, and whose centre is coordinate satisfy `x+ygt4`, is

A

`x^(2)+y^(2)-8x-8y+24=0`

B

`x^(2)+y^(2)=8`

C

`x^(2)+y^(2)-8x+8y-24=0`

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|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 equations of the circles whose centers lie on the line 4x+3y=2 and which touch the lines x+y+4=0 and 7x-y+4=0.

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

The equation of the circle whose centre lies on x+2y=0 and touching 3x-4y+8=0 and 3x-4y-28=0 is

Find the equation of a circle whose centre is (2,-1) and touches the line x-y-6=0.

Find the equation of the circle with centre on the line 2x + y = 0 and touching the line 4x - 3y + 10-0, 4x - 3y = 30 .

The equation to the circle with centre (2,1) and touching the line 3x+4y=5 is

The diameter of the circle, whose centre lies on the line x + y = 2 in the first quadrant and which touches both the lines x=3 and y=2 , is ..........

The equation of the circle with radius 3 units, passing through the point (2, 1) and whose centre lies on the line y + x = 0 can be

OBJECTIVE RD SHARMA-CIRCLES-Chapter Test
  1. the length of the chord of the circle x^(2)+y^(2)=25 passing through ...

    Text Solution

    |

  2. If the points A(2, 5) and B are symmetrical about the tangent to the c...

    Text Solution

    |

  3. The equation of the circle of radius 2sqrt(2) whose centre lies on the...

    Text Solution

    |

  4. Prove that the maximum number of points with rational coordinates on a...

    Text Solution

    |

  5. The equation of a circle C is x^(2)+y^(2)-6x-8y-11=0. The number of re...

    Text Solution

    |

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

    Text Solution

    |

  7. The number of points on the circle 2(x^(2)+y^(2))=3x which are at a di...

    Text Solution

    |

  8. A ray of light incident at the point (-2, -1) gets reflected from the ...

    Text Solution

    |

  9. The point on the straight line y = 2x + 11 which is nearest to the cir...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |