Home
Class 11
MATHS
Let C be the circle with centre at (1, 1...

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

A

`1/2`

B

`1/4`

C

`sqrt3/sqrt2`

D

`sqrt3/2`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • CARTESIAN COORDINATES AND STRAIGHT LINE

    PATHFINDER|Exercise QUESTION BANK|249 Videos
  • COMPLEX NUMBER

    PATHFINDER|Exercise QUESTION BANK|224 Videos

Similar Questions

Explore conceptually related problems

Let be the circle with centre at (1 , 1) and radius is 1 unit . It 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 centre of a circle passing through the points (0,0),(1,0)and touching the circle x^2+y^2=9 is

Radius of the circle that passes through the origin and touches the parabola y^2=4a x at the point (a ,2a) is

Find the circle of minimum radius which passes through the point (4, 3) and touches the circle x^2+y^2=4 externally.

Let C_1 be the circle with center O_1(0,0) and radius 1 and C_2 be the circle with center O_2(t ,t^2+1),(t in R), and radius 2. Statement 1 : Circles C_1a n dC_2 always have at least one common tangent for any value of t Statement 2 : For the two circles O_1O_2geq|r_1-r_2|, where r_1a n dr_2 are their radii for any value of tdot (a) Statement 1 and Statement 2 are correct. Statement 2 is the correct explanation for the Statement 1 (b) Statement 1 and Statement 2 are correct. Statement 2 is not the correct explanation for the Statement 1 (c) Statement 1 is true but Statement 2 is false (d) Statement 2 is true but Statement 1 is false

Find the radius of the circle passing through (6,0), (0,8) and origin .

The circle passing through (1, - 2) and touching the axis of x at (3, 0) also passes through the point

Find the radius of the circle which passes through the origin and the points (a, 0) and (0, b).

The ordinate of the centre of the circle passing through (0,0) and (1,0) and touching the circle x ^(2) + y^(2) =9 is-

The circle passing through (1 , -2) and touching the axis of x at (3 , 0) also passes through the point _

PATHFINDER-CIRCLE-QUESTION BANK
  1. The number of common tangents to the circles x^2+y^2-4x-6y-12=0 and x^...

    Text Solution

    |

  2. A circle S passes through the point (0, 1) and is orthogonal to the ci...

    Text Solution

    |

  3. Let C be the circle with centre at (1, 1) and radius = 1. If T is the ...

    Text Solution

    |

  4. The circle passing through (1, - 2) and touching the axis of x at (3, ...

    Text Solution

    |

  5. A point P lines on the circle x^2+y^2=169. If Q = (5, 12) and R= (-12,...

    Text Solution

    |

  6. A circle passing through (0, 0), (2, 6), (6, 2) cuts the x-axis at the...

    Text Solution

    |

  7. A point moves so that the sum of squares of its distances from the poi...

    Text Solution

    |

  8. If one end of a diameter of the circle x^2+y^2-4x-6y+11=0 is (3, 4) th...

    Text Solution

    |

  9. The equation of the circle passing through the point (1, 1) and the po...

    Text Solution

    |

  10. The equations of the circles which touch both the axes and the line 4x...

    Text Solution

    |

  11. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  12. A tangent PT is drawn to the circle x^2+y^2 =4 at the point P(sqrt3,1)...

    Text Solution

    |

  13. The length of the diameter of the circle which touches the x-axis at t...

    Text Solution

    |

  14. If the circles x^2 + y^2 + 2x + 2ky + 6 = 0 and x^2 + y^2 + 2ky + k = ...

    Text Solution

    |

  15. Four distinct points (2k,3k),(1,0),(0,1)and(0,0) lie on a circle for

    Text Solution

    |

  16. The incentre of an equilateral triangle is ( 1, 1) and the equation of...

    Text Solution

    |

  17. The circle passing through (-1, 0) and touching the y - axis at (0, 2)...

    Text Solution

    |

  18. The straight line 2x - 3y = 1 divides the circular region x^2+y^2le6 i...

    Text Solution

    |

  19. The two circles x^2+y^2=ax and x^2+y^2=c^2 (cgt0) touch each other if

    Text Solution

    |

  20. If the straight line y = mx is outside the circle x^2+y^2-20y+90=0, th...

    Text Solution

    |