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

If in a `DeltaABC, AD, BE and CF` are the altitudes and R is the circumradius, then the radius of the circumcircle of `DeltaDEF` is

A

2R

B

R

C

`R/2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|24 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|15 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 8|5 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 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

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

In the above DeltaABC, bar(AD),bar(BE) , and bar(CF) are the medians. G is the centroid. What is the ratio of the areas of DeltaBGD and DeltaGCE ?

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

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Single Option Correct Type Questions)
  1. If there are only two linear functions f and g which map [1,2] on [4,6...

    Text Solution

    |

  2. A circle is inscribed in an equilateral triangle of side adot The area...

    Text Solution

    |

  3. In any triangle ABC, if sin A , sin B, sin C are in AP, then the maxim...

    Text Solution

    |

  4. In a DeltaABC, 2 cos A=(sin B)/(sin C) and 2 ^(tan^(2)B) is a solution...

    Text Solution

    |

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

    Text Solution

    |

  6. If a,b and c are the sides of a traiangle such that b.c =lamda ^(2), t...

    Text Solution

    |

  7. In a triangle ABC, AD is the altitude form- abcA (Fig. 12.9). Given b...

    Text Solution

    |

  8. In triangle ABC, a=5, b=4 and cos(A+B)=(31)/(32) In this triangle,c=

    Text Solution

    |

  9. In a A B C ,ifA B=x , B C=x+1,/C=pi/3 , then the least integer value ...

    Text Solution

    |

  10. In an equilateral triangle, three coins of radii 1 unit each are kept ...

    Text Solution

    |

  11. The sides of a triangle are in AP. If the angles A and C are the great...

    Text Solution

    |

  12. If in Delta ABC, c(a+b) cos ""B/2=b (a+c) cos ""C/2, the triangle is

    Text Solution

    |

  13. In a triangle ABC , the line joining the circumcentre and incentre is ...

    Text Solution

    |

  14. In the given figure, AB is the diameter of the circle, centered at O. ...

    Text Solution

    |

  15. If in a DeltaABC, AD, BE and CF are the altitudes and R is the circumr...

    Text Solution

    |

  16. In a right angled triangle ABC, the bisector of the right angle C divi...

    Text Solution

    |

  17. A variable triangle ABC is circumscribed about a fixed circle of unit ...

    Text Solution

    |

  18. A tower of height b substends an angle at a point O on the leavel of t...

    Text Solution

    |

  19. A balloon is observed simultaneously from three points A, B and C on a...

    Text Solution

    |

  20. A vertical pole (more than 100 m high) consists of two protions, the l...

    Text Solution

    |