Home
Class 11
MATHS
In an equilateral triangle, the inradius...

In an equilateral triangle, the inradius, circumradius, and one of the exradii are in the ratio

A

`2:4:5`

B

`1:2:3`

C

`1:2:4`

D

`2:4:3`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (More than one correct answer Type Questions)|19 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (LECTURE SHEET (ADVANCED)) (Matrix Matching Type Questions)|9 Videos
  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-IV) (LEVEL-II) (Matrix Matching Type Questions)|2 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 an equilateral triangle r:R:r_1 is

In an equilateral triangle , find ( r ) /( R )

Area of an equilateral triangle whose side is 2 cm is

If R is the circumradius of equilateral traingle DeltaABC then circumradius of the ex-central triangle is equal to

The angle of an equilateral triangle is

If the centroid of an equilateral triangle is (1,1) and one of its vertices is (-1,2) then, equation of its circum circle is

In a right-angled isosceles triangle, the ratio of the circumradius and inradius is

AAKASH SERIES-PROPERTIES OF TRIANGLES-ADDITIONAL PRACTICE EXERCISE (LEVEL 1 (MAIN)) (Straight Objective Type Questions)
  1. In a DeltaABC, if cot A :cot B:cot C = 30:19:6 then the sides a,b,c ar...

    Text Solution

    |

  2. In DeltABc, Delta=6 abc=60, r=1. Then the value of (1)/(a)+(1)/(b)+(1)...

    Text Solution

    |

  3. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  4. If two sides of a triangle are roots of the equation x^(2)- 7x + 8 = 0...

    Text Solution

    |

  5. ABC is an equilateral triangle of side 4cm. If R,r, and h are the circ...

    Text Solution

    |

  6. A circle is inscribed in a trianlge ABC touching the side AB at D such...

    Text Solution

    |

  7. For triangle ABC, R = 5/2 and r=1. Let I be the incenter of the triang...

    Text Solution

    |

  8. Let C be incircle of DeltaABC. If the tangents of lengths t(1),t(2) an...

    Text Solution

    |

  9. In an acute angle triangle ABC r+r(1)=r(2)+r(3) and angleB gt (pi)/(3)...

    Text Solution

    |

  10. If in triangle ABC, sum "sin"(A)/(2)=(6)/(5) and sum II(1)=9 (where l(...

    Text Solution

    |

  11. In DeltaABC with usual notations if r=1, r(1)=7 and R=3, the DeltaABC ...

    Text Solution

    |

  12. Which of the following expresses the circumference of a circle inscrib...

    Text Solution

    |

  13. The area of the circle and the area of a regular polygon of n sides an...

    Text Solution

    |

  14. In any triangle, the minimum value of r(1),r(2),r(3) l r^(3) is equal...

    Text Solution

    |

  15. Statement 1: In any DeltaABC he maximum value of r(1)+r(2)+r(3)=9R//2 ...

    Text Solution

    |

  16. Statement. 1: The incenter of triangle ABC is the orthocenter of the t...

    Text Solution

    |

  17. Let l(1), l(2), l(3) be the lengths of the internal bisectors of angle...

    Text Solution

    |

  18. Let ABC be a triangle. Also, let h(a) be the length of the altitude fr...

    Text Solution

    |

  19. Statement-1: If a = 3, b = 7, c = 8, and internal angle bisector Al me...

    Text Solution

    |

  20. Let ABCDEFGHIJKL be a regular dodecagon. Then the value of (AB)/(AF)+...

    Text Solution

    |