Home
Class 14
MATHS
Triangle ABC inscribes a circle with cen...

Triangle ABC inscribes a circle with centre O and inradius `sqrt6 cm`. The inradius OD divides side BC at D, such that BD=2 cm and DC=8 cm. Find the ratio AB:AC.

A

`4:7`

B

`5:7`

C

`4:5`

D

cannot be determined

Text Solution

Verified by Experts

The correct Answer is:
A
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

A ABC is inscribed in a circle with centre o and radius 5 cm and AC is a diameter of the circle. If AB = 8 cm, then BC = ......... cm.

In figure , a triangle ABC is drawn to circumscribe a circle of radius 3 cm , such that segments BD and DC are of length 6 cm and 9 cm .If the area of triangleABC=54 cm^2 , then find the lengths of the side AB and AC.

In a triangle ABC the angle A is twice the angle C, the side BC is 2 cm longer than the side AB, and AC=5 cm. Find AB and BC.

Perimeter of a Delta is 32 cm & inradius is 3 cm. Find the area of Delta .

The sides of a Delta are consecutive intergers and inradius is 4 cm. Find the area of the Delta .

In a Delta ABC, AB=5, AC=6cm, BC=8 cm . Find the length of median AD.

triangle ABC is an isosceles triangle with AB = AC= 15 cm and altitude from A to BC is 12 cm. The length of sides BC is :

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. Answer the following questions based on the information given below. ...

    Text Solution

    |

  2. Answer the following questions based on the information given below. ...

    Text Solution

    |

  3. Triangle ABC inscribes a circle with centre O and inradius sqrt6 cm. T...

    Text Solution

    |

  4. A circle with radius 12 cm has two perpendicular chords AB and CD inte...

    Text Solution

    |

  5. There are two tangents AT and BT on a circle of radius 30 cm. A line O...

    Text Solution

    |

  6. Summation of 5 consecutive numbers is found out to be 335. If we add t...

    Text Solution

    |

  7. In the following figure AB=21cm, BC=15 cm, AC=24 cm. Point P is the mi...

    Text Solution

    |

  8. In the following figure one side of the triangleABC passes through the...

    Text Solution

    |

  9. In the following figure there are four chords AB,CD,AC,BD in a circle....

    Text Solution

    |

  10. An error 2% in excess is made while measuring the side of a square. Wh...

    Text Solution

    |

  11. The unit digit in the product (624 × 708 × 913 × 463) is:

    Text Solution

    |

  12. The ratio of two numbers is 4 : 5 and their H.C.F is 4. Find their L.C...

    Text Solution

    |

  13. A circle has its total area A. there are four equal circle tangent to ...

    Text Solution

    |

  14. If 2x +3y = 30 and (x+y)/y = 11/8, then find the value of 5y + 6x

    Text Solution

    |

  15. The average weight of three boys P, Q and R is 54 kg, while the averag...

    Text Solution

    |

  16. Two-third of a positive number and 16/216 of its reciprocal are equal....

    Text Solution

    |

  17. The ratio between the present ages of A and B is 3:5 respectively. If ...

    Text Solution

    |

  18. If semiperimeter of a right angle Delta is 126 cm and shortest media...

    Text Solution

    |

  19. In an isoceles right angled triangle ABC, angle B is right angle, Angl...

    Text Solution

    |

  20. In a right angled triangle angleB and angleA are acute angles. If ang...

    Text Solution

    |