Home
Class 12
MATHS
Let "c" be the circle with centre at (1,...

Let "c" be the circle with centre at (1,1) and radius =1. If 'T' is the circle centred at (0,y) passing thorugh origin and touching the circle 'C' externally , then the radius of 'T' is equal to:

A

`(sqrt3)/( sqrt2) `

B

` (sqrt3)/(2)`

C

` (1)/(2) `

D

` (1)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • REVISION EXERCISE

    AAKASH SERIES|Exercise SYSTEM OF CIRCLES|22 Videos
  • REVISION EXERCISE

    AAKASH SERIES|Exercise PARABOLA|50 Videos
  • RANDOM VARIABLES

    AAKASH SERIES|Exercise Exercise 4.4|9 Videos
  • SEQUENCE AND SERIES

    AAKASH SERIES|Exercise Practice Exercise|71 Videos

Similar Questions

Explore conceptually related problems

Let C be the circle with centr at (1,1) and radius =1. If T is the circle centred at (0,y), passing through origin and touching the circle C externally, then the radius of T is equal to

The circle with centre (1,1) and radius 1 is

The circle with centre (3/2,1/2) and radius sqrt(3/2) is

Circle with centre (-1,2) and passing through origin is

Construct a circle with centre M and radius 10 cm.

Find the equation of circle with centre (1, 4) and radius '5'

Construct a circle with centre M and radius 4 cm

The circle with centre (4,-1) and touching x-axis is

Find the equation of the circle with centre at (0,0) and radius r .

In intercept made by the circle with centre (2,3) and radius 6 on y-axis is

AAKASH SERIES-REVISION EXERCISE -STRAIGHT LINES
  1. Let "c" be the circle with centre at (1,1) and radius =1. If 'T' is th...

    Text Solution

    |

  2. If the lines (x+1)/(2) =(y-1)/( 1) =(z+1)/(3) and (x+2)/(2) =( y-k)/...

    Text Solution

    |

  3. Let Q be the foot the perpendicular from the origin to the plane 4x-3y...

    Text Solution

    |

  4. The angle between the lines whose direction cosines satisfy the equati...

    Text Solution

    |

  5. If the lines L1 and L2 in space are defined by L1 = {x=sqrt lambda y+...

    Text Solution

    |

  6. If the projection of a line segment on the x, y and z -axes in 3 dim...

    Text Solution

    |

  7. Let ABC be a triangle with vertices at points A( 2,3,5 ), B ( -1,3,2)...

    Text Solution

    |

  8. The equation of a plane through the line of intersection of the planes...

    Text Solution

    |

  9. Equation of a plane which passes through the point of intersection of ...

    Text Solution

    |

  10. Let A (2,3,5) , B ( -1,3,2) and C( lambda ,5, mu ) be the vertices ...

    Text Solution

    |

  11. A line in 3 dimensional space makes an angle theta (0 lt theta le pi...

    Text Solution

    |

  12. The plane containing the line (x-1)/(1) =(y-2)/( 2) =(z-3)/(3) and ...

    Text Solution

    |

  13. A symmetrical form of the line of intersection of the planes x= ay +b...

    Text Solution

    |

  14. If the distance between the planes 4x -2y - 4z +1 =0 and 4x -2y -4z +...

    Text Solution

    |

  15. Equation of the line of shortest distance between the lines (x)/(1) =...

    Text Solution

    |

  16. If the angle theline 2(x+1)=y=z+4 and the plane 2x-y+sqrt(lambda)z+4=0...

    Text Solution

    |

  17. Shortest distance between z-axis and the line (x-2)/(3) =(y-5)/(2) =(...

    Text Solution

    |

  18. Let L be the line x-4 =y-2 =(z-7)/(2) and P be the plane 2x - 4y +z =...

    Text Solution

    |

  19. The angle between the lines 2x =3y =-z and -6x =y =-4z is

    Text Solution

    |

  20. The reflection point of the point (0, 3,-2) " on the line " (1-x)/(...

    Text Solution

    |

  21. A variable plane passes through a fixed point (1,-2,3) and meets the ...

    Text Solution

    |