Home
Class 11
MATHS
In triangle ABC, AD and BE are the media...

In triangle ABC, AD and BE are the medians drawn through the angular points A and B respectively.
`lfloorDAB= 2lfloorABE = 36^(@)" and " AD = 6 ` units then circumradius of the triangle is equal to

A

`(3 - sqrt5) Co sec C `

B

`(3 + sqrt5) Co sec C`

C

`2(3 - sqrt5) Co secC `

D

`2(3 + sqrt5) Co sec C `

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 - I (More than One correct answer Type Questions) |4 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I (Matrix Matching Type Questions)|1 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 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

In a triangle ABC, D and E are the mid-points of BC, CA respectively. If AD=5, BC=BE=4 then CA=

In triangle ABC, medians AD and CE are drawn. If AD = 5, angle DAC = pi//8 " and " angle ACE = pi//4 , then the area of the triangle ABC is equal to

In a triangle ABC, fi Tan A + Tan B + Tan C = 6 and Tan A Tan B = 2 then the triangle is

Consider a triangle ABC, where x, y, z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a, b, c respectively let the letters R, r, S, D denote the circumradius. inradius semi-perimeter and area of the triangle respectively. The value of (c sin B + b sin C)/x + (a sin C + c sin A)/y + (b sin A + a sin B)/z is equal to

Consider a triangle ABC, where x, y, z are the length of perpendicular drawn from the vertices of the triangle to the opposite sides a, b, c respectively let the letters R, r, S, D denote the circumradius. inradius semi-perimeter and area of the triangle respectively. If (bx)/c + (cy)/a + (az)/b = (a^(2) + b^(2) + c^(2))/k then the value of k is

In Delta ABC, if the median AD drawn through A is perpendicular to the side AC, then 3ca cos A cos C + 2a^(2) =

In a triangle ABC, medians AD and BE are drawn.IF angle D=4, angle DAB=pi//6, angle ABE=pi//3 then the area of Delta ABC is

In a triangle ABC, AD is the median drawn on the side BC is produced to E such that AD = ED prove that ABEC is a parallelogram.

In triangle ABC, bar(AD) is median. If A = (1, 1) and D = (1, -5), then the centroid of the triangle is

AAKASH SERIES-PROPERTIES OF TRIANGLES-LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions )
  1. If (sin 3B)/(sinB)=((a^(2)-c^(2))/(2ac)) then a^(2),b^(2),c^(2) are in

    Text Solution

    |

  2. In a triangle ABC if (a^(2) + b^(2))/(a^(2) - b^(2)) sin (A - B) = 1 a...

    Text Solution

    |

  3. In triangle ABC, AD and BE are the medians drawn through the angular p...

    Text Solution

    |

  4. In a Delta^(le) ABC the bisectors of angleB and angleC meet AC and AB...

    Text Solution

    |

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

    Text Solution

    |

  6. The base of a triangle is divided into 3-equal part. If t(1), t(2), t(...

    Text Solution

    |

  7. If O is the point inside the triangle ABC such that lfloor OBC = A//2,...

    Text Solution

    |

  8. In a triangle ABC, a similar triangle A'B'C' is inscribed so that B'C'...

    Text Solution

    |

  9. In Delta ABC . P is an interior such that angle PAB = 10^(@) , angle P...

    Text Solution

    |

  10. In Delta ABC , " if " angle C = 3 angle A, BC = 27 , and AB = 48. The...

    Text Solution

    |

  11. In a triangle ABC, if A,B, C are in A.P and b:c =sqrt3:sqrt2, then

    Text Solution

    |

  12. In Delta ABC, if cos A cos B+ sin A sin B sin C=1, then a:b:c=

    Text Solution

    |

  13. In triangle ABC , if cot A , cot B , cot C are in A.P., then a^(2), b...

    Text Solution

    |

  14. Which of the following does not exist ?

    Text Solution

    |

  15. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  16. If a, b and c represent the lengths of sides of a triangle, then the p...

    Text Solution

    |

  17. In Delta ABC , angle A = 90^(@) and AD is an altitude . Complete the r...

    Text Solution

    |

  18. ABC is a triangle with angle B greater than angle C . D and E are poin...

    Text Solution

    |

  19. Two parallel chords of a circle of radius 2 are at a distance sqrt3 + ...

    Text Solution

    |

  20. In triangle ABC, angle B = pi//3. " and " angle C = pi//4 . Let D div...

    Text Solution

    |