Home
Class 12
MATHS
Find the equation of the circle which cu...

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).

Text Solution

Verified by Experts

The correct Answer is:
`x^(2)+y^(2)0-4x+2y+1=0`
Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • CIRCLE

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos

  • BIONOMIAL THEOREM

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

  • COMPLEX NUMBERS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|43 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of the circle which cuts the circle x^(2)+y^(2)-20x+4=0 orthogonally and touches the line x=2 is

Find the equation of the circle which cuts the circles x^(2)+y^(2)-9x+14=0 and x^(2)+y^(2)+15x+14=0 orthogonally and passes through the point (2,5)

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

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 the circle concentric with the circle x^2 +y^2 - 4x - 6y-9=0 and passing through the point (-4, -5)

Find the equation of the circle which cuts orthogonally the circle x^(2)+y^(2)6x+4y-3=0, passes through (3,0) and touches the axis of y.

Find the equation of the circle concentric With the circle x^(2) + y^(2) - 4x - 6y - 9 = 0 and passing through the point ( -4, -5).

The circle with centre (1,2) cuts the circle x^(2)+y^(2)+14x-16y+77=0 orthogonally then its radius is

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 passes through the points (3,7),(5,5) and has its centre on the line x-4y=1

ARIHANT MATHS-CIRCLE -Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equation of the circle which cuts the circle x^(2)+y^(2)+5x+7...

    Text Solution

    |

  2. A circle is given by x^2 + (y-1) ^2 = 1, another circle C touches it e...

    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 (...

    Text Solution

    |

  5. If a circle passes through the point (a, b) and cuts the circlex x^2+y...

    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 o...

    Text Solution

    |

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

    Text Solution

    |

  11. Tangents are drawn from the point (17, 7) to the circle x^2+y^2=169, S...

    Text Solution

    |

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

    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

    |