Home
Class 12
MATHS
The equation of the circle passing throu...

The equation of the circle passing through the points (1, 0) and (0, 1) and having smallest radius is :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos
  • COMMON ENTRANCE TEST - 2014

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|60 Videos

Similar Questions

Explore conceptually related problems

The equation of the smallest circle passing through the points (2,2) and (3,3) is

The equation of the smalltst circle passing through the points (2,2) and (3,3) is

Find the equation of the circle passing through (1,0)a n d(0,1) and having the smallest possible radius.

Find the equation of the line passing through the points(-1,1) and (2,-4) ?

The equation of the circle passing through (2,0) and (0,4) and having minimum radius is

Find the equation of circle passing through the points (5,3) ,(1,5) and (3,-1)

Find the equation of a line passing through the points (-1,1) and (2,-4)?

Find the equation of the circle passing through the points (2,3) and (-1,1) and whose centre is on the line x-3y-11=0.

The equation of the circle passing through the point (4, 5) and having centre at (2, 2) is :

Find the equation of the circle passing through the points (4,1) and (6,5) and whose centre is on the line 4x+y=16

HIMALAYA PUBLICATION-CIRCLES-QUESTION BANK
  1. The equation of the circle circumscribing the triangle formed by the ...

    Text Solution

    |

  2. The circle x^(2)+y^(2)-8 x+4 y+4=0

    Text Solution

    |

  3. The equation of the circle passing through the points (1, 0) and (0, 1...

    Text Solution

    |

  4. The tangents drawn from the origin to the circle : x^2+y^2-2gx-2fy+f^2...

    Text Solution

    |

  5. The circle x^(2) + y^(2) -3x-4y + 2=0 cuts the x axis at the points

    Text Solution

    |

  6. The radical axis of the two circleS and the line of centres of those ...

    Text Solution

    |

  7. The equation of the tangent to the circle x^2 + y^2 + 4x - 4y + 4 = 0 ...

    Text Solution

    |

  8. If two circle (x-1)^(2)+(y-3)^(2)=r^(2) and x^(2)+y^(2)-8x+2y+8=0 inte...

    Text Solution

    |

  9. If (x(i), (1)/(x(i))), i=1,2,3,4 are four distinct points on the circl...

    Text Solution

    |

  10. The line 3x-2y=k meets the circle x^(2)+y^(2)=4r^(2) at only one point...

    Text Solution

    |

  11. Which of the following is a point on the common chord of the circle x^...

    Text Solution

    |

  12. If the circles x^(2)+y^(2)+2gx+2fy=0 and x^(2)+y^(2)+2g'x+2f'y=0 touch...

    Text Solution

    |

  13. The circle x^(2)+y^(2)-8 x+4 y+4=0

    Text Solution

    |

  14. The radius of the circle passing through the point (6.2) and two of wh...

    Text Solution

    |

  15. The equation to the circle with centre (2, 1) and touching the line 3x...

    Text Solution

    |

  16. The condition for a line y = 2x + c to touch the circle x^(2) + y^(2) ...

    Text Solution

    |

  17. The centre of the circle x = 2 + 3 cos theta y = 3 sin theta -1 is ...

    Text Solution

    |

  18. The radius of the circle x^(2) + y^(2) + 4x + 6y +13 = 0 is...

    Text Solution

    |

  19. The two circles x^(2) + y^(2) - 2x + 22y + 5 = 0 and x^(2) + y^(2) + 1...

    Text Solution

    |

  20. If the length of the tangent from any point on the circle (x-3)^(2)+(y...

    Text Solution

    |