Home
Class 14
MATHS
CD is direct common tangent to two circl...

CD is direct common tangent to two circles intersecting each other at A and B. The `angle CAD + angle CBD` is equal to

A

`120^@`

B

`90^@`

C

`360^@`

D

`180^@`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

Common tangents AB and CD to two circles intersects at E.Prove that AB=CD

AB and CD are common tangents to two circles which intersect each other at C as shown in the figure IF AB = 6cm , find CD.

In figure, common tangents AB and CD to two circles intersect at E. Prove that AB=CD.

In the adjoining figure, common tangents AB and CD to two circles intersect at P. Prove that AB=CD.

Prove that if two lines intersect each other, then the vertically opposite angles are equal.

Two circles of radii 8 cm and 2 cm respectively touch each other externally at the point A. PQ is the direct common tangent of these two circles of centres O_(1) and O_(2) respectively. The length of PQ is equal to :

If two lines intersect each other, then the vertically opposite angles are equal.

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. If AB is a chord of a circle, P and Q are two points on the circle dif...

    Text Solution

    |

  2. In the given figure, AB and CD are two common to the two touching circ...

    Text Solution

    |

  3. CD is direct common tangent to two circles intersecting each other at ...

    Text Solution

    |

  4. O and O' are the centres of circle of radii 20 cm and 30 cm AB = 24 cm...

    Text Solution

    |

  5. There is a circle of radius 5 cm. There are two chords AB and AC OF e...

    Text Solution

    |

  6. In a circle of radius 17 cm, two parallel chords are drawn on opposite...

    Text Solution

    |

  7. If two equal circles are such that the centre of one lies on e circumf...

    Text Solution

    |

  8. Two circles touch each other internally. Their radii are 2 cm and 3 cm...

    Text Solution

    |

  9. Through any given set of four points P,Q,R,S it is possible to draw

    Text Solution

    |

  10. The distance between the centres of equal circles each of radius 3 cm ...

    Text Solution

    |

  11. The number of common tangents that can be drawn to two given circles i...

    Text Solution

    |

  12. ABC is a right angled triangle AB = 3 cm, BC = 5 cm and AC = 4 cm, the...

    Text Solution

    |

  13. A circle has two parallel chords of lengths 6 cm and 8 cm. If the chor...

    Text Solution

    |

  14. Three equal circles of unit radius touch each other. Then, the area of...

    Text Solution

    |

  15. The radius of a circle is 20 cm. The radii (in cm) of three concentric...

    Text Solution

    |

  16. Points A,B,C and D are concyclic. BC is the diameter and O is the cent...

    Text Solution

    |

  17. An isoceles right triangl ABC has an incircle with centre O, which tou...

    Text Solution

    |

  18. If x, x+2, 3x are in A.P. then x = ?

    Text Solution

    |

  19. Three numbers are in G.P. Their sum is 28 and product is 512. The numb...

    Text Solution

    |

  20. In a circle with centre O, there are two chords AB and Bc, such that a...

    Text Solution

    |