Home
Class 12
MATHS
A circle passes through the origin and h...

A circle passes through the origin and has its centre on y=x.
If it cuts `x^(2)+y^(2)- 4x-6y + 10 =0` orthogonally, then the equation of the circle is

A

`x^(2)+y^(2)-x-y=0`

B

`x^(2)+y^(2)-6x-4y=0`

C

`x^(2)+y^(2)-2x-2y=0`

D

`x^(2)+y^(2)+2x+2y=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (7) (TRUE AND FALSE) |3 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (7) (FILL IN THE BLANKS) |2 Videos

  • THE CIRCLE

    ML KHANNA|Exercise Problem Set (6) (TRUE AND FALSE) |1 Videos

  • TANGENTS AND NORMALS

    ML KHANNA|Exercise SELF ASSESSMENT TEST (MULTIPLE CHOICE QUESTIONS)|19 Videos

  • THE ELLIPSE

    ML KHANNA|Exercise SELF ASSESSMENT TEST|9 Videos

Similar Questions

Explore conceptually related problems

A circle passes through the origin and has its center on y=x If it cuts x^(2)+y^(2)-4x-6y+10=- orthogonally, then find the equation of the circle.

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=k^(2) orthogonally, then the equation of the locus of its center is

If a circle passes through the point (3,4) and cuts the circle x ^(2) + y ^(2) =a ^(2) orthogonally, the equation of the locus of its centre is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally,then the locus of its centre is

If a circle passes through the point (a,b) and cuts the circle x^(2)+y^(2)=4 orthogonally, then the locus of its centre is

If a circle passes through the point (1, 1) and cuts the circle x^(2)+y^(2)=1 orthogonally, then the locus of its centre is

ML KHANNA-THE CIRCLE -Problem Set (7) (MULTIPLE CHOICE QUESTIONS)
  1. The equation of the circle which passes through the point (1, 1) and c...

    Text Solution

    |

  2. Equation of the circle cutting orthogonally the three circles x^(2)+y^...

    Text Solution

    |

  3. A circle passes through the origin and has its centre on y=x. If i...

    Text Solution

    |

  4. Let px+qy + r=0 where p, q, r are in A.P. be normal to the family of...

    Text Solution

    |

  5. The two circles x^(2)+y^(2)-25=0, and x^(2)+y^(2)-26y+25=0 are such ...

    Text Solution

    |

  6. If the circles x^(2)+y^(2)+2x+2ky+6=0 and x^(2)+y^(2)+2ky+k=0 interse...

    Text Solution

    |

  7. The circle x^(2)+y^(2) + 4x+6y - 8 = 0 and x^(2)+y^(2) +6x-8y +c=0 cu...

    Text Solution

    |

  8. If the circles of same radius a and centers at (2, 3) and 5, 6) cut or...

    Text Solution

    |

  9. (iii)If two circles cut a third circle orthogonally; then the radical ...

    Text Solution

    |

  10. The centre of the circle S=0 lies on the line 2x-2y+9=0 and it cuts th...

    Text Solution

    |

  11. Equation of the circle which passes through origin and whose centre li...

    Text Solution

    |

  12. The circles x^2+y^2+x+y=0 and x^2+y^2+x-y=0 intersect at an angle of

    Text Solution

    |

  13. The locus of the centre of the circle which cuts the circles x^(2)+y^...

    Text Solution

    |

  14. The locus of the centre of a circle which touches the line x-2=0 and c...

    Text Solution

    |

  15. If a circle passes through the point (1, 2) and cuts the circle x^(2)+...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. x=1 is the radical axis of two of the circles which intersect orthogon...

    Text Solution

    |

  19. The centre of the circle which intersects the three circles, x^(2)+y^(...

    Text Solution

    |

  20. If the chord of contact of tangents from a point P to a given circle p...

    Text Solution

    |