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

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.

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

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|53 Videos

  • CIRCLES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|12 Videos

  • CARTESIAN PRODUCT OF SETS AND RELATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • COMPLEX NUMBERS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

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

A circle passes through the point (3, 4) and cuts the circle x^2+y^2=c^2 orthogonally, the locus of its centre is a straight line. If the distance of this straight line from the origin is 25. then a^2=

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

The circle passing through the points (-2, 5), (0, 0) and intersecting x^2+y^2-4x+3y-2=0 orthogonally is

If a circle Passes through a point (1,0) and cut the circle x^2+y^2 = 4 orthogonally,Then the locus of its centre is

If a circle Passes through a point (1,2) and cut the circle x^2+y^2 = 4 orthogonally,Then the locus of its centre is

Find the equation of the circle passing through the origin, having its centre on the line x+y=4 and intersecting the circle x^2+y^2-4x+2y+4=0 orthogonally.

If a circle passes through (1,2) and cuts x^2+y^2=4 orthogonally then show that the equation of the locus of centre is 2x+4y-9=0

If the circle x^2+y^2+2x+3y+1=0 cuts x^2+y^2+4x+3y+2=0 at A and B , then find the equation of the circle on A B as diameter.

OBJECTIVE RD SHARMA ENGLISH-CIRCLES-Exercise
  1. The equation of the circle described on the common chord of the circle...

    Text Solution

    |

  2. Origin is a limiting point of a coaxial system of which x^(2)+y^(2)-6x...

    Text Solution

    |

  3. A circle passes through the origin and has its center on y=x If it cut...

    Text Solution

    |

  4. The number of common tangents to the circles x^2+y^2-x = 0 and x^2 + ...

    Text Solution

    |

  5. Consider the circles x^2+(y-1)^2=9,(x-1)^2+y^2=25. They are such that ...

    Text Solution

    |

  6. A circle touches the x-axis and also touches the circle with center (0...

    Text Solution

    |

  7. The circles x^(2)+y^(2)-4x-6y-12=0 and x^(2)+y^(2)+4x+6y+4=0

    Text Solution

    |

  8. Write the equation of the unit circle concentric with x^2+y^2-8x+4y-8=...

    Text Solution

    |

  9. The point (sintheta, costheta). theta being any real number, die insid...

    Text Solution

    |

  10. The range of values of theta in [0, 2pi] for which (1+ cos theta, sin ...

    Text Solution

    |

  11. The range of values of a for which the point (a, 4) is outside the cir...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. If the point (lambda,lambda+1) lies inside the region bounded by the c...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. The abscissa of the two points A and B are the roots of the equation x...

    Text Solution

    |

  16. The Cartesian equation of the plane vecr=(1+lambda-mu)hati+(2-lambda...

    Text Solution

    |

  17. if y = mx is a chord of a circle of radius a and the diameter of the c...

    Text Solution

    |

  18. 18. The straight lines joining the origin to the points of intersectio...

    Text Solution

    |

  19. The locus of the point of intersection of the tangents to the circle x...

    Text Solution

    |

  20. If the chrod of contact of tangents from a point (x(1),y(1)) to the ci...

    Text Solution

    |