Home
Class 12
MATHS
Equation of circle symmetric to the circ...

Equation of circle symmetric to the circle `x^(2)+y^(2)+16x -24y +183 = 0` about the line `4x +7y +13 = 0` is

Text Solution

Verified by Experts

The correct Answer is:
or `x^(2)+y^(2)+32x+4y+235=0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise EXAMPLE|2 Videos
  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos
  • BIONOMIAL THEOREM

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Complex Number Exercise 8|3 Videos

Similar Questions

Explore conceptually related problems

The equation of one of the diameters of the circle x^2+y^2 - 6x + 2y =0 is:

Find the equation of the circle through points of intersection of the circle x^2 + y^2 -2x - 4y + 4 =0 and the line x + 2y = 4 which touches the line x + 2y = 0 .

Find the equation of the circle concentric with the circle x^(2) + y^(2) - 8x + 6y -5 = 0 and passing through the point (-2, -7).

Find the equation of a circle concentric with the circle x^2 + y^2-2x -4y + 1 = 0 and whose radius is 5.

Find the radius of the circle x^(2)+y^(2)-4x-6y+12=0

Find the equation of the normal to the circle x^(2)+y^(2)-2x=0 parallel to the line x+2y=3 .

Is the circle x^2+y^2=r^2 symmetrical about the line y=x?

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 which touches the circle x^2+y^2-6x+6y+17 = 0 externally and to which the lines x^2-3 xy-3x + 9y = 0 are normals, is

Find the equation of the image of the circle : x^2 + y^2 + 8x-16y + 64=0 in the mirror x = 0.

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Equation of circle symmetric to the circle x^(2)+y^(2)+16x -24y +183 =...

    Text Solution

    |

  2. Find the derivative of (a/x^4 - b/x^2 + cosx)

    Text Solution

    |

  3. If the circles x^2+y^2+2a x+c y+a=0 and points Pa n dQ , then find the...

    Text Solution

    |

  4. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  5. Find the derivative of (4x - 2)

    Text Solution

    |

  6. Let ABCD be a square of side length 2 units. C2 is the circle through ...

    Text Solution

    |

  7. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  8. ABCD is a square of side length 2 units. C(1) is the circle touching ...

    Text Solution

    |

  9. If the lines 3x-4y-7=0 and 2x-3y-5=0 are two diameters of a circle of ...

    Text Solution

    |

  10. Let C be the circle with centre (0, 0) and radius 3 units. The equatio...

    Text Solution

    |

  11. Find the derivative of (ax + b)^n

    Text Solution

    |

  12. Consider a family of circles which are passing through the point (-1,1...

    Text Solution

    |

  13. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  14. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  15. A circle C of radius 1 is inscribed in an equilateral triangle PQR. Th...

    Text Solution

    |

  16. Consider: L1:2x+3y+p-3=0 L2:2x+3y+p+3=0 where p is a real number and...

    Text Solution

    |

  17. The point diametrically opposite to the point P(1, 0) on the circle x^...

    Text Solution

    |