Home
Class 14
MATHS
The circle C(1) of radius (sqrt(3)+1) ha...

The circle `C_(1)` of radius `(sqrt(3)+1)` has chord AB which touch another circle `C_(2)` which is concentric to `C_(1)`. If radius of `C_(2)` is `(sqrt(3)-1)` then length of AB (in cm) will be.

A

`2root4(3)`

B

`8sqrt(3)`

C

`4root4(3)`

D

`4sqrt(3)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

Lines 5x + 12 y -10=0 and 5x - 12y - 40=0 touch a circle C_(1) of diameter 6.If the centre of C_(1) lies in the first quadrant, find the equation of the circle C_(2) which is concentric with C_(1) and cuts, intercepts of length 8 on these lines.

The chord of circle whose radius is 5 cm touches another circle radius is 3 cm. If two circles are concentric, then what is length of chord?

A circle C_(1), of radius 2 touches both x -axis and y -axis.Another circle C_(1) whose radius is greater than 2 touches circle and both the axes.Then the radius of circle is

C_(1) is a circle of radius 2 touching X-axis and Y-axis. C_(2) is another circle of radius greater than 2 and touching the axes as well as the circle C_(1) Statemnet I Radius of Circle C_(2)=sqrt2(sqrt2+1)(sqrt2+2) Statement II Centres of both circles always lie on the line y=x.

The tangent to the circle C_(1) : x^(2) +y^(2) -2x -1=0 at the point ( 2,1) cuts off a chord of length 4 from a circle C_(2) whose centre is ( 3,-2) . The radius of C_(2) is :

A square OABC is formed by line pairs xy=0 and xy+1=x+y where o is the origin .A circle with circle C_(1) inside the square is drawn to touch the line pair xy=0 and another circle with centre C_(2) and radius twice that C_(1) is drawn touch the circle C_(1) and the other line . The radius of the circle with centre C_(1)

A square OABC is formed by line pairs xy=0 and xy+1=x+y where o is the origin .A circle with circle C_(1) inside the square is drawn to touch the line pair xy=0 and another circle with centre C_(2) and radius twice that C_(1) is drawn touch the circle C_(1) and the other line . The radius of the circle with centre C_(1)

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. The measure of sides are (x^(2)-1), (x^(2)+1) and 2x cm. then the tria...

    Text Solution

    |

  2. If a given figure angleONY=50^(@) and angleOMY=15^(@) then value of an...

    Text Solution

    |

  3. The circle C(1) of radius (sqrt(3)+1) has chord AB which touch another...

    Text Solution

    |

  4. I and O are incentre and circumcentre of a Delta ABC. AI is produced a...

    Text Solution

    |

  5. C(1) and C(2) are two circle which touch internally at point P. Two li...

    Text Solution

    |

  6. The diagonals of quad. ABCD cut at right angle then find AB^(2)+CD^(2)...

    Text Solution

    |

  7. ABCD is a parallelogram in which diagonals AC and BD intereset at O. I...

    Text Solution

    |

  8. In a right angle triangle DeltaABC a point D is situated on side BC wh...

    Text Solution

    |

  9. In a given figure, OABC is a rhombus which has 3 angles on circumferen...

    Text Solution

    |

  10. In the given figure O is the centre of the circle AC and BD intersects...

    Text Solution

    |

  11. In the given figure, AB is a line of length 2a and mid Point M. Taking...

    Text Solution

    |

  12. In the given figure, AB is a diameter of a circle and CD is perpendicu...

    Text Solution

    |

  13. In the given figure O is the centre of the circle. Line UTV is tangent...

    Text Solution

    |

  14. In the figure XY is a tangent to the circle with centre O at A. If ang...

    Text Solution

    |

  15. In the above figure there is an incircle in quadrilateral ABCD. BC = 3...

    Text Solution

    |

  16. In the given figure, if angleAOP=75^(@) and angleAOB=120^(@), then wha...

    Text Solution

    |

  17. AB is the diameter of a circle which centre is O. DC is a chord where ...

    Text Solution

    |

  18. Two circles with radii 5 cm and 8 cm touch each other externally at a ...

    Text Solution

    |

  19. In the given figure O is the centre of the circle and AB||CD. If angle...

    Text Solution

    |

  20. The radii of two co-centric circles are 13 cm and 8 cm respectively. A...

    Text Solution

    |