Home
Class 12
MATHS
Find the equation of the circle passing ...

Find the equation of the circle passing through the intersection of the circles `x^2 + y^2-4 = 0` and `x^2+y^2-2x-4y+4=0` and touching the line `x + 2y=0`

Promotional Banner

Topper's Solved these Questions

  • CIRCLE

    MOTION|Exercise Exercise - 1 (Objective Problems | JEE Main)|48 Videos

  • CIRCLE

    MOTION|Exercise Exercise - 2(Level - I) (Objective Problems | JEE Main)|39 Videos

  • BINOMIAL THEOREM

    MOTION|Exercise Exercise -4 (Level - II) ( Previous Year )|7 Videos

  • COMPLEX NUMBER

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) PREVIOUS YEAR - JEE ADVANCED|33 Videos

Similar Questions

Explore conceptually related problems

The locus of the centre of the circle passing through the intersection of the circles x^(2)+y^(2)=1 and x^(2)+y^(2)-2x+y=0 is

Find the equation of the circle passing through the point of intersection of the circles x^(2)+y^(2)-6x+2y+4=0,x^(2)+y^(2)+2x-4y-6=0 and with its centre on the line y=x

Find the equation of the circle passing through the points of intersection of the circles x^(2)+y^(2)-2x-4y-4=0 and x^(2)+y^(2)-10x-12y+40=0 and whose radius is 4.

Find the equation of the circle through the points of interrection of the circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+6x+4y-12=0 and cutting the circle x^(2)+y^(2)-2x-4=0 orthogonally.

The equation of the circle passing through the point of intersection of the circles x^(2)+y^(2)-4x-2y=8 and x^(2)+y^(2)-2x-4y=8 and (-1,4) is (a)x^(2)+y^(2)+4x+4y-8=0(b)x^(2)+y^(2)-3x+4y+8=0(c)x^(2)+y^(2)+x+y=0(d)x^(2)+y^(2)-3x-3y-8=0

Find the equation of the circle which passes through the point of intersection of the lines 3x-2y-1=0 and 4x+y-27=0 and whose centre (2,-3)

MOTION-CIRCLE-Exercise - 4 | Level - II (Previous Year | JEE Advanced
  1. Find the equation of the circle passing through the intersection of th...

    Text Solution

    |

  2. Let A B C D be a quadrilateral with are 18 , side A B parallel to the ...

    Text Solution

    |

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

    Text Solution

    |

  4. Consider the two curves C1 ; y^2 = 4x, C2 : x^2 + y^2 - 6x + 1 = 0 the...

    Text Solution

    |

  5. Consider, L(1) : 2x + 3y + p – 3 = 0 , L(2) : 2x + 3y + p + 3 = 0, whe...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. Tangents drawn from the point P(1,8) to the circle x^(2) + y^(2) - 6x ...

    Text Solution

    |

  10. The centres of two circles C(1) and C(2) each of unit radius are at a...

    Text Solution

    |

  11. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  12. The circle passing through the point (-1,0) and touching the y-axis at...

    Text Solution

    |

  13. The straight line 2x – 3y = 1 divides the circular region x^(2) + y^(2...

    Text Solution

    |

  14. The locus of the mid-point of the chord of contact of tangents drawn f...

    Text Solution

    |

  15. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  16. A tangent PT is drawn to the circle x^2+y^2=4 at the point P(sqrt3,1)....

    Text Solution

    |

  17. A possible equation of L is (A) x 3y 1 (B) x 3y 1 (C) x 3y 1 (D) x...

    Text Solution

    |

  18. A circle s passes through the point ( 0,1) and is orthogonal to the ci...

    Text Solution

    |

  19. Let , RS be the diameter of the circle x^(2) + y^(2) = 1 , where S...

    Text Solution

    |

  20. For how many values of p, the circle x^2+y^2+2x+4y-p=0 and the coordin...

    Text Solution

    |

  21. Let T be the line passing the points P(–2, 7) and Q(2,–5). Let F(1) be...

    Text Solution

    |