Home
Class 12
MATHS
Show that the equation of the circle whi...

Show that the equation of the circle which passes through the point (-1,7) and which touches the straight line x=y at (1,1) is `x^2+y^2+3x-7y+2=0`

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

Show that the equation of the circle which pass through the points (1,-2) and (4,-3) and whose centre lies on the line 3x+4y=7 is 15(x^(2)+y^(2))-94x+18y+55=0

The equation of the hyperbola which passes through the point (2,3) and has the asymptotes 4x+3y -7=00 and x-2y -1=0 is

Two circles x^2+y^2=6 and x^2+y^2-6x+8=0 are given. Show that the equation of the circle through their points of intersection and the point (1,1) is x^2+y^2-3x+1=0

Show that the equation of a line passing through the point (11,-2) and touching the circle x^(2)+y^(2)=25 is 3x+4y=25 .

Find the equation of the line passing through the point (-2,1) and parallel to 4x-7y+3=0.

Find the equation of the circle passing through (-1,0) and touching x+ y-7 = 0 at (3,4)

Find the equation of the circle which passes through the point (0,-3) and intersect the circles given by the equations x^2+y^2-6x+3y+5=0 and x^2+y^2-x-7y=0 orthogonally .

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

    |