Home
Class 12
MATHS
The normal at the point (3,4) on a circl...

The normal at the point (3,4) on a circle cuts the circle at the poins `(-1,-2)`. Then the equation of the circle is

A

`x^(2)+y^(2)+2x-2y-13=0`

B

`x^(2)+y^(2)-2x-2y-11=0`

C

`x^(2)+y^(2)-2x+2y+12=0`

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
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 normal at the point (3, 4) on a circle cuts the circle at the point (-1,-2). Then the equation of the circle is

The vertex of the parabola y^2 = 8x is at the centre of a circle and the parabola cuts the circle at the ends of itslatus rectum. Then the equation of the circle is

A foot of the normal from the point (4, 3) to a circle is (2, 1) and a diameter of the circle has the equation 2x -y -2 =0 . Then the equation of the circle is:

The equation of radical axis of two circles is x + y = 1 . One of the circles has the ends ofa diameter at the points (1, -3) and (4, 1) and the other passes through the point (1, 2).Find the equations of these circles.

The point on a circle nearest to the point P(2,1) is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

The point on a circle nearest to the point P(2,1) is at a distance of 4 units and the farthest point is (6, 5). Then find the equation of the circle.

The line 2x - y + 1 = 0 is tangent to the circle at the point (2,5) and the centre of the circles lies on x-2y = 4. The radius of the circle is :

A circle having its centre in the first quadrant touches the y-axis at the point (0,2) and passes through the point (1,0). Find the equation of the circle

Line 2x+3y+1=0 is a tangent to the circle at (1,-1). This circle is orthogonal to a circle which is drawn having diameter as a line segment with end points (0, -1) and (-2, 3). Then the equation of the circle is

The co-ordinates of the end points of a diameter of a circle are (0,0) and (4,4). The equation of the circle is :

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Chapter Test
  1. The equation of the circle which has a tangent 2x-y-1= 0 at P( 3,5) on...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. A variable circle passes through the point A(a,b) and touches the x-a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. Statement 1 : The equation x^2+y^2-2x-2a y-8=0 represents, for differe...

    Text Solution

    |

  20. x=1 is the radical axis of the two orthogonally intersecting circles....

    Text Solution

    |