Home
Class 11
MATHS
Find the equation of the circle, which p...

Find the equation of the circle, which passes through the origin and cut off equal chords of the length 'a' from the straight lines y= x and y=-x .

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, which passes through the origin and cuts off intercepts ‘a’ and ‘b’ from the axes.

Find the equation of the circle which passes through the origin and cuts off chords of lengths 4 and 6 on the circle concentric with the circle x^2+y^2-6x+12 y+15=0\ and double of its area.

Find the locus of the centre of a circle which passes through the origin and cuts off a length 2b from the line x=c .

Find the equation of the circle which passes through the origin and cuts off intercepts a\ a n d\ b\ respectively from x\ a n d\ y-a x e sdot

Find the equation of the circle, which passes through the origin and makes intercepts 4 and 2 on the x and y axes respectively.

Find the differntial equation of all circles which pass through the origin and whose centres lie on x-axis.

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

Find the equation of the circle, which passes through the points (2, - 3) and (3, - 2) and has its centre on the line 2x-3y = 8.

MODERN PUBLICATION-CONIC SECTIONS-EXERCISE
  1. Determine the equation of the circle whose diameter is the chord x + y...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The radius of the circle : x^2 + y^2-8x + 10y- 12 =0 is:

    Text Solution

    |

  20. The directrix of the parabola y^2=4ax is :

    Text Solution

    |