Home
Class 11
MATHS
Determine the equation of the circle who...

Determine the equation of the circle whose diameter is the chord x + y = 1 of the circle `x^2 +y^2= 4` .

Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    MODERN PUBLICATION|Exercise EXERCISE|478 Videos

  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise EXERCISE|291 Videos

  • INFINITE SERIES

    MODERN PUBLICATION|Exercise EXAMPLE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the circle whose radius is 5 and which touches the circle x^2 + y^2-2x- 4y- 20 = 0 externally at the point (5, 5).

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 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 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.

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

Find the equation of the circle whose centre is the point (1,-2) and which passes through the centre of the circle x^2 + y^2 + 2y = 3 .

Find the length of the chord cut-off by y=2x+1 from the circle x^2+y^2=2

Find the equation of the circle which cuts each of the circles x^2+y^2=4 , x^2 +y^2-6x-8y.+ 10=0 & x^2 + y^2+2x-4y-2 = 0 at the extremities of a diameter

Find the equation of that diameter which bisects the chord 7x+y-2=0 of the hyperbola (x^(2))/(3)-(y^(2))/(7)=1 .

Determine the radius and centre of the circle : x^2 +y^2-x+2y-3=0 .

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. If lines 5x + 12y-10 = 0 and 5x- 12y - 40 =0 touch a circle C1 of diam...

    Text Solution

    |

  2. If the distances from the origin to the centres of the three circles x...

    Text Solution

    |

  3. Determine the equation of the circle whose diameter is the chord x + y...

    Text Solution

    |

  4. A rectangle ABCD is inscribed in a circle with a diameter lying along ...

    Text Solution

    |

  5. Find the equation of the circle, which passes through the origin and c...

    Text Solution

    |

  6. Prove that the equation y^2+ 2Ax + 2By +c =0 represents a parabola who...

    Text Solution

    |

  7. A double ordinate of the parabola y^2=4ax is of length 8a. Prove that ...

    Text Solution

    |

  8. Prove that the equation of the parabola whose vertex and focus are on ...

    Text Solution

    |

  9. Find the focus of the parabola x^2=4y

    Text Solution

    |

  10. Show that the locus of the middle points of normal chords of the parab...

    Text Solution

    |

  11. If any tangent to the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 cuts off inter...

    Text Solution

    |

  12. The vertices of a quadrilateral are situated at foci and the extremiti...

    Text Solution

    |

  13. Find the equation of the hyperbola whose foci are (8, 3), (0, 3) and w...

    Text Solution

    |

  14. Find the slope of the line passing through the points : (3, - 2) and...

    Text Solution

    |

  15. The slope of the line passing through the points (3,-2) and (-1,4) is:

    Text Solution

    |

  16. Slope of the line passing through the points (3, -2) and (3, 4) is:

    Text Solution

    |

  17. If the equation of a circle is: x^2 + y^2 + 8x -10y+8=0, then its cent...

    Text Solution

    |

  18. The centre of the circle x^(2)+y^(2)-6x+4y-1=0 is

    Text Solution

    |

  19. If the equation of a circle is: x^2 + y^2-4x-8y -45 =0, then its centr...

    Text Solution

    |

  20. The centre of the circle x^2+y^2+8x+10y-8=0 is:

    Text Solution

    |