Home
Class 12
MATHS
In a triangle ABC I1, I2,I3 are excentre...

In a triangle ABC `I_1, I_2,I_3` are excentre of triangle then show that `II_(1). II_(2). II_(3)=16R^(2)r.`

Text Solution

Verified by Experts

The correct Answer is:
`II_(1).II_(2). II_(3) =64 R^(3). (r)/(4R)=16R^(2)r`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise SOLVED EXAMPLES|1 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 1|20 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

In a DeltaABC, show that r_(1)* r_(2)* r_(3)*r=Delta^(2).

Show that 16R^(2)r r_(1) r _(2) r_(3)=a^(2) b ^(2) c ^(2)

In a triangle, if r_(1) gt r_(2) gt r_(3), then show a gtb gt c.

In Delta ABC, a=5, b=4, c=3. G is the centroid of triangle. If R_(1) be the circum radius of triangle GAB then the value of (a)/(65) R_(1)^(2) must be

In triangle ABC, if r_(1) = 2r_(2) = 3r_(3) , then a : b is equal to

If l_(1), l_(2), l_(3) are respectively the perpendicular from the vertices of a triangle on the opposite side, then show that l_(1)l_(2) l_(3) =(a^(2)b ^(2) c^(2))/(8R^(3)).

If the equations of the sides of a triangle are a_(r)x+b_(r)y = 1 , r = 1 ,2,3 and the orthocentre is the origin then prove that a_1a_2 +b_1b_2= a_2a_3+ b_2b_3 =a_3a_1+b_3b_1

In triangle ABC, r=(R )/(6) and r_(1)=7r . Then the measure of angle A =

If in a triangle r_(1) = r_(2) + r_(3) + r , prove that the triangle is right angled

In a triangle ABC,if 1/r_1^2+1/r_2^2+1/r_3^2+1/r^2=

ARIHANT MATHS-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise (Questions Asked In Previous 13 Years Exam)
  1. In a triangle ABC I1, I2,I3 are excentre of triangle then show that ...

    Text Solution

    |

  2. Prove that 2sin^2(pi/6) - sec^2(pi/3)= -7/2

    Text Solution

    |

  3. In a triangle the sum of two sides is x and the product of the same is...

    Text Solution

    |

  4. Consider a triangle A B C and let a , b and c denote the lengths of th...

    Text Solution

    |

  5. Solution of differential equation 2xy dy / dx = x^2 + 3y^2 is .

    Text Solution

    |

  6. Let PQR be a triangle of area Delta with a = 2, b = 7//2, and c = 5//2...

    Text Solution

    |

  7. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  8. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

  9. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  10. Let A B Ca n dA B C ' be two non-congruent triangles with sides A B=4,...

    Text Solution

    |

  11. A straight line through the vertex P of a triangle P Q R intersects th...

    Text Solution

    |

  12. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  13. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  14. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  15. Internal bisector of /A of triangle ABC meets side BC at D. A line dra...

    Text Solution

    |

  16. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  17. In Delta ABC, which one is true among the following ?

    Text Solution

    |

  18. Let a vertical tower A B have its end A on the level ground. Let C be ...

    Text Solution

    |

  19. ABCD is a trapezium such that AB and CD are parallel and BC bot CD. If...

    Text Solution

    |

  20. For a regular polygon, let r and R be the radii of the inscribed and t...

    Text Solution

    |

  21. In triangle A B C , let /c=pi/2dot If r is the inradius and R is circu...

    Text Solution

    |