Home
Class 11
MATHS
If r1 , r2 , r3 are the radii of the es...

If` r_1 , r_2 , r_3 ` are the radii of the escribed circles of a `Delta ABC ` and if r is the in radius then `r_1r_2r_3-r( r_1r_2+r_2r_3+r_3r_1) `

A

` 0`

B

` 1`

C

` 2`

D

`3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|132 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise LECTURE SHEET EXERCISE - I ( Straight Objective Type Questions ) |58 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise EXERCISE - 1|98 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

If r_(1),r_(3),r_(1) are the radii of the escribed circles of a DeltaABC and if r is the radius of its incircle then r_(1)r_(2)r_(3)-r(r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1))=

( r_1+ r_2) (r_2+r_3) (r_3+r_1) =

If r_1 = r_2 = r_3 then triangle is

a( r r _1 +r_2r_3) =

r_1^(2) = r_1r_2+ r_2r_3 +r_3r_1 triangle is

( r_1 (r_2+ r_3))/( sqrt( r_1r_2+r_2r_3+ r_1r_3)) =

In Delta ABC , 4 ( r_1r_2 + r_2r_3+ r_3r_1) =

(r_2+r_3) sqrt((r r_1)/( r_2r_3)) = a

In Delta ABC , if r_1 lt r_2 lt r_3 then

AAKASH SERIES-PROPERTIES OF TRIANGLES-EXERCISE - II
  1. If a = 18 , b= 24 , c= 30 " then" r2 r1 is

    Text Solution

    |

  2. If the sides of a triangle are xy + yz , yz +zx , zx+ xy then inradi...

    Text Solution

    |

  3. If r1 , r2 , r3 are the radii of the escribed circles of a Delta ABC ...

    Text Solution

    |

  4. In a Delta ABC if angle A=90^@, then cos^(-1)(( R)/(r2 +r3)) is equal

    Text Solution

    |

  5. In Delta ABC if a= 26 , b = 30 , cos C ""( 63)/( 65) " then " r2...

    Text Solution

    |

  6. In Delta ABC ( ( s-a))/( Delta) = (1)/( 8) , ( ( s-b))/( Delta ) = (...

    Text Solution

    |

  7. (r1)/( R ) =sin A + sin B + sin C then the triangles is

    Text Solution

    |

  8. In Delta ABC if ( r1+s)/( r1) =sqrt2 " then " (b^(2) +c^(2) -a^(2))/(...

    Text Solution

    |

  9. In Delta ABC if ( r1+s)/( r1) =sqrt2 " then " (b^(2) +c^(2) -a^(2))/(...

    Text Solution

    |

  10. In triangle ABC if Delta = 96, r1=8,r2 = 12 r3= 24 then the greatest...

    Text Solution

    |

  11. In Delta ABC , ( Delta ^(2))/( a^(2) + b^(2) + C^(2)) {(1)/( r1^(2) ...

    Text Solution

    |

  12. In Delta ABC , ( r1r+ r2r3)/( bc)=

    Text Solution

    |

  13. In Delta ABC , r1r2 sqrt([( 4R -r1-r2)/( r1+r2)]) =

    Text Solution

    |

  14. Prove that sum (r+r1) tan ((B-C)/( 2))=0

    Text Solution

    |

  15. In Delta ABC, the correct formule among the following are Statemen...

    Text Solution

    |

  16. In Delta ABC , with usual notation observe the two statements given ...

    Text Solution

    |

  17. In Delta ABC Macth of following

    Text Solution

    |

  18. Assertion (A) : The angle between equal sides of an isosceles triangle...

    Text Solution

    |

  19. Assertion (A) : In Delta ABC a,b, c denotes lengths of the sides an...

    Text Solution

    |

  20. Statement -I : In Delta ABC , b cos ^(2) "" ( C)/(2) + c cos ^(2) ""...

    Text Solution

    |