Home
Class 11
MATHS
The circle x^2+y^2-2x-2y+1=0 is rolled a...

The circle `x^2+y^2-2x-2y+1=0` is rolled along the positive direction of x-axis and makes one complete roll. Find its equation in new position.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS

    RD SHARMA ENGLISH|Exercise All Questions|216 Videos
  • THE STRAIGHT LINES

    RD SHARMA ENGLISH|Exercise All Questions|493 Videos

Similar Questions

Explore conceptually related problems

The circle (x-a)^2+(y-a)^2=a^2 is rolled on the y-axis in the positive direction through one complete revolution. Find the equation of the circle in its new-position.

A circle of radius 5u n i t s touches the coordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction of x-axis , find its equation in new position.

A circle of radius 5u n i t s touches the coordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along he positive direction of x-axis , find its equation in new position.

A circle of radius 2 units touches the co ordinate axes in the first quadrant. If the circle makes a complete rotation on the x-axis along the positive direction of the x-axis, then the equation of the circle in the new position is

Find the equation of the circle which is touched by y=x , has its center on the positive direction of the x=axis and cuts off a chord of length 2 units along the line sqrt(3)y-x=0

Find the equation of the circle which is touched by y=x , has its center on the positive direction of the x=axis and cuts off a chord of length 2 units along the line sqrt(3)y-x=0

A line makes 30^(@), 120^(@) and 90^(@) angles from the positive direction of x-axis, y-axis and pi -axis respectively. Find its direction cosines.

A line passing through the point A(3,0) makes 30^0 angle with the positive direction of x- axis . If this line is rotated through an angle of 15^0 in clockwise direction, find its equation in new position.

A line through the point A(2, 0) which makes an angle of 30^0 with the positive direction of x-axis is rotated about A in clockwise direction through an angle 15^0 . Find the equation of the straight line in the new position.

Find the equation of the line which intercepts a length 2 on the positive direction of the x-axis and is inclined at an angle of 135^@ with the positive direction of y-axis .

RD SHARMA ENGLISH-THE CIRCLE-All Questions
  1. Find the equations of the circles passing through two points on y-axis...

    Text Solution

    |

  2. If the lines 3x-4y-7 = 0 and 2x-3y-5=0 are two diameters of a circle o...

    Text Solution

    |

  3. The circle x^2+y^2-2x-2y+1=0 is rolled along the positive direction of...

    Text Solution

    |

  4. One of the diameters of the circle circumscribing the rectangle ABCD i...

    Text Solution

    |

  5. Find the centre of a circle passing through (5,-8), (2,-9) and (2,1)

    Text Solution

    |

  6. Find the area of equilateral triangle inscribed in a circle x^2+y^2+2g...

    Text Solution

    |

  7. Find the coordinates of the centre and radius of each of the following...

    Text Solution

    |

  8. Find the coordinates of the centre and radius of each of the following...

    Text Solution

    |

  9. Find the coordinates of the centre and radius of each of the following...

    Text Solution

    |

  10. Find the coordinates of the centre and radius of each of the following...

    Text Solution

    |

  11. Find the equation of the circle passing through the point: (5,1), (8, ...

    Text Solution

    |

  12. Find the equation of the circle passing through the point: (1,2),(3,-4...

    Text Solution

    |

  13. Find the equation of the circle passing through the point: (5,-8),\ (-...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Find the equation of the circle which passes through the points (3, -2...

    Text Solution

    |

  16. Find the equation of the circle which passes through the points (3,7),...

    Text Solution

    |

  17. Show that the points (3,-2), (1,0), (-1, -2) and (1,-4) are con-cyclic...

    Text Solution

    |

  18. Show that the points A(5,5), B(6,4), C(-2,4) and D(7,1) all lies on t...

    Text Solution

    |

  19. Find the equation of the circle which circumscribes the triangle forme...

    Text Solution

    |

  20. Find the equation of the circle which circumscribes the triangle forme...

    Text Solution

    |