Home
Class 12
MATHS
A circle C of radius unity lies in the f...

A circle C of radius unity lies in the first quadrant and touches both the coordinate axes. Show that the radius of the circle which touches both coordinate axes , lies in the first quadrant and cuts C orthogonally is `2pmsqrt3` .

Promotional Banner

Topper's Solved these Questions

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-I (Class work)|20 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise-II (Class work)|45 Videos

  • SYSTEM OF CIRCLES

    AAKASH SERIES|Exercise Exercise -2.2 (Long Answer)|7 Videos

  • STRAIGHT LINES (3D)

    AAKASH SERIES|Exercise PRACTICE EXERCISE|28 Videos

  • THEORY OF EQUATIONS

    AAKASH SERIES|Exercise EXERCISE-III|46 Videos

Similar Questions

Explore conceptually related problems

The equation of the circle which touches both the axes and the line 4x+3y=6 in first quadrant and lies below it

The equation of the circle of radius 5 and touching the coordinate axes in third quadrant is

The equation of the circle touching the coordinate axes the line x+2=0 is

The equation of the circle touching both axes, lying in the first quadrant and having the radius 3 is

The equation of the circle touching both the axes, lying in the third quadrant and having the radius 1 is

The equation of the cirlce touching both the axes lying in the third quadrant and having the radius 3 is

The equation of a circle touching the coordinate axes and the line 3x-4y=12 is

Equation of circles which touch both the axes and also the line x=k(kgt0) is

AAKASH SERIES-SYSTEM OF CIRCLES-Additional Exercise
  1. Show that the area of the triangle formed by the common chord of two c...

    Text Solution

    |

  2. Show that the condition that the circle x^2+y^2+2g1x+2f1y+c1=0 bisects...

    Text Solution

    |

  3. Show that the circle x^2+y^2+4x+4y-1=0 bisects the circumference of th...

    Text Solution

    |

  4. Find the equation of the circle which cuts each of the following circl...

    Text Solution

    |

  5. If a circle passes through (1,2) and cuts x^2+y^2=4 orthogonally then ...

    Text Solution

    |

  6. Show that the equation of the circles passing through (1,1) and the po...

    Text Solution

    |

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

    Text Solution

    |

  8. If the circles x^2+y^2+2x+2ky+6=0 and x^2+y^2+2ky+k=0 intersect orthog...

    Text Solution

    |

  9. Show that the distance of the centre of the circle x^2+y^2=2x from the...

    Text Solution

    |

  10. If the circles x^2+y^2+2ax+cy+a=0 and x^2+y^2-3ax+dy-1=0 intersect in ...

    Text Solution

    |

  11. Circles of radii 3,4,5 touch each other externally . Let P be the poin...

    Text Solution

    |

  12. Three circles touch each other externally. The tangents at their point...

    Text Solution

    |

  13. Show that the equation of the line passsing through the points of inte...

    Text Solution

    |

  14. Two circles x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Show that the equa...

    Text Solution

    |

  15. A circle C of radius unity lies in the first quadrant and touches both...

    Text Solution

    |

  16. From a point A(3,2) , tangents are drawn to the circle x^2+y^2-2x+4y-4...

    Text Solution

    |

  17. Show that the locus of the centres of the circles passing through the ...

    Text Solution

    |

  18. Show that the equation of the circle which passes through the point (-...

    Text Solution

    |