Home
Class 12
MATHS
If in a Delta ABC, AD, BE and CF are the...

If in a `Delta ABC, AD, BE and CF` are the altitudes and R is the circumradius, then find the radius of the DEF.

A

`R/2`

B

2R

C

R

D

`3/2 R`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Exercise|98 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

If in a Delta ABC,AD,BE and CF are the altitudes and R is the circumradius,then the radius of the circumcircle of Delta DEF is

In a Delta ABC, 2s= perimeter and R = circumradius. Then, find s/R.

In a Delta ABC,AD,BE and CF are three medians. The perimeter of Delta ABC is always.

In Delta ABC if AD is the altitude and O is the orthocentre of Delta ABC then AO:OD=

In an equilateral triangle,the in-radius and circumradius are in the ratio

In a scalene triangle ABC , AD and CF are the altitudes drawn from A and C on the sides BC and AB repectively.If the area of the triangle ABC and BDF are 18sq.units and 2 sq. units respectively and DF = 2sqrt2 , then R =

In A Delta ABC , AD ,BE and CF are three medians . The perimeter of Delta ABC is always

If AD,BE,CF are the altitudes of triangle ABC whose ortho centre is H then C is ortho centre of

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. If in DeltaABC, a=2b and A=3B, then A is equal to

    Text Solution

    |

  2. Let the angles A , B and C of triangle A B C be in AdotPdot and let b ...

    Text Solution

    |

  3. If in a Delta ABC, AD, BE and CF are the altitudes and R is the circum...

    Text Solution

    |

  4. If in a triangleABC=(a)/(cos A)=(b)/(cos B), then

    Text Solution

    |

  5. In a triangleABC, s/R=

    Text Solution

    |

  6. If in a triangleABC, A=pi/3 and AD is the median, then

    Text Solution

    |

  7. If any triangleABC, the value of a(b^(2)+c^(2))cos A+b(c^(2)+a^(2))cos...

    Text Solution

    |

  8. If the angle of a right angled triangle are in A.P. then the ratio of ...

    Text Solution

    |

  9. The sum of the radii of inscribed and circumscribed circle of an n sid...

    Text Solution

    |

  10. If 0 lt x lt pi/2 then the largest angle of a triangle whose sides are...

    Text Solution

    |

  11. The sides of a tringle are 3x+4y, 3y and 5x+5y where x,y gt0, then the...

    Text Solution

    |

  12. The perimeter of a triangle is 16 cm. One of the sides is of length 6 ...

    Text Solution

    |

  13. In a triangleABC," if "(a)/(b^(2)-c^(2))+(c)/(b^(2)-a^(2))=0," then "a...

    Text Solution

    |

  14. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

    Text Solution

    |

  15. In a triangleABC, (cos C+cos A)/(c+a)+(cos B)/(b)=

    Text Solution

    |

  16. In in a triangle ABC, sides a,b,c are in A.P. then tan""A/2 tan""C/2

    Text Solution

    |

  17. In a triangle ABC, cos A+cos B+cos C=

    Text Solution

    |

  18. If A+B+C =pi, and cos A = cos B. cos C, then cot B. cot C =

    Text Solution

    |

  19. In triangle ABC,a(b^2+c^2)cos A+b(c^2+a^2)cosB+c(a^2+b^2)cosC=

    Text Solution

    |

  20. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |