Home
Class 11
MATHS
The internal angular bisectors of angles...

The internal angular bisectors of angles of a `Delta^("le") ABC` meets circum circle of `Delta^("le") ABC` at D,E,F respectively then `("Area of " Delta^("le") ABC)/("Area of " Delta^("le") DEF) = `

A

`r/R`

B

`(2r)/R`

C

`(3r)/R`

D

`(4r)/R`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (Straight Objective Type Question)|38 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - IV (More than one correct answer Type Questions)|3 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - II(Linked comprehension Type Questions)|18 Videos
  • PLANES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|30 Videos
  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

Similar Questions

Explore conceptually related problems

The length of medians of a Delta^("le") ABC are 6, 8 , 10 then its area is

If I is incentre of the triangle ABC, P_(1),P_(2),P_(3) are radii of circum circles of Delta^("le") IBC, ICA, IAB respectively

In a Delta^("le")ABC lfloorB=60^(@) then

Internal bisectors of DeltaABC meet the circumcircle at points D, E and F then Ratio of area of triangle ABC and triangle DEF is

In a Delta^("le") ABC if r_(1)=2r_(2)=3r_(3) then

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - III (Straight Objective Type Question)
  1. If AD, BE , CF are internal bisectors of the angles of Delta ABC, " th...

    Text Solution

    |

  2. If two shorter sides of a triangle measure 9 and 18. If the internal a...

    Text Solution

    |

  3. The internal angular bisectors of angles of a Delta^("le") ABC meets c...

    Text Solution

    |

  4. In a triangle ABC bisector of lfloor C meets the side AB at D and circ...

    Text Solution

    |

  5. In Delta ABC , the median AD divides angle BAC such that angle BAD : ...

    Text Solution

    |

  6. In a triangle ABC, the median to the side BC is of length 1/sqrt(11 - ...

    Text Solution

    |

  7. If AD, BE and CF are the medians of a triangle ABC, then AD^(2) + BE^(...

    Text Solution

    |

  8. If in a triangle PQR , sin P, sin Q, sin R are in A.P., then

    Text Solution

    |

  9. In DeltaABC, AD is the altitude from A, if b gt c, C=23^(0), AD=(abc)/...

    Text Solution

    |

  10. Altitude AD of an equilateral triangle ABC is a diameter of circle. If...

    Text Solution

    |

  11. A triangle is inscribed in a circle. The vertices of the triangle divi...

    Text Solution

    |

  12. The base of a triangle is a and ratio of remaining two sides is r ( r ...

    Text Solution

    |

  13. The area of the right angled triangle in terms of its circum radius an...

    Text Solution

    |

  14. In a triangle ABC, D and E are the mid-points of BC, CA respectively. ...

    Text Solution

    |

  15. If the bisector of the angle lfloor C of a triangle ABC cuts AB in D ...

    Text Solution

    |

  16. Let ABC be an isosceles triangle with base BC. If 'r' is the radius o...

    Text Solution

    |

  17. If a right angled Delta ABC of maximum area is inscribed within a cir...

    Text Solution

    |

  18. P is a point inside a Delta ABC of area K (K gt 0). The lengths of pe...

    Text Solution

    |

  19. If the bisector angle A of the triangle ABC makes an angle theta with ...

    Text Solution

    |

  20. Internal bisector of an angle angle A of triangle ABC meets side BC a...

    Text Solution

    |