Home
Class 12
MATHS
In a triangle ABC,if 1/r1^2+1/r2^2+1/r3...

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

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 4|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 5|7 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS ENGLISH|Exercise Exercise For Sesssion 2|20 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|51 Videos

  • SEQUENCES AND SERIES

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

Similar Questions

Explore conceptually related problems

prove that : triangle ABC, 1/r_1+1/r_2+1/r_3=1/r

In a triangleABC , if 1/r^(2) + 1/r_(1)^(2) + 1/r_(2)^(2) + 1/r_(3)^(2) = (a^(2) + b^(2) + c^(2))/(Delta^(n)) , then n is equal to ………..

In a triangle ABC, prove that r^2+r_1^2+r_2^2+r_3^2=16R^2-a^2-b^2-c^2.

In a triangle ABC if r_(1) = 8, r_(2) = 12 and r_(3) = 24, then a =

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

In a triangle ABC , if 2R + r = r_(1) , then

In a triangle ABC, if r_1 + r_3 + r = r_2 , then find the value of (sec^2 A + csc^2 B-cot^2 C) ,

Value of 1/(r_(1)^2)'+ 1/(r_(2)^2)+ 1/(r_(3)^2)+ 1/(r_()^2) is :

In a triangle ABC if r_(1) = 36 , r_(2) = 18 and r_(3) = 12 , then the perimeter of the triangle , is

In a triangle ABC if r_(1) = 36 , r_(2) = 18 and r_(3) = 12 , then the area of the triangle , in square units, is

ARIHANT MATHS ENGLISH-PROPERTIES AND SOLUTION OF TRIANGLES -Exercise For Sesssion 3
  1. In an equilateral triangle, the inradius, circumradius, and one of the...

    Text Solution

    |

  2. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

  3. The exradii r(1), r(2), and r(3) " of " Delta ABC are in H.P. show tha...

    Text Solution

    |

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

    Text Solution

    |

  5. If l(1), l(2), l(3) are respectively the perpendicular from the vertic...

    Text Solution

    |

  6. If the angle opf a triangle are in the ratio 1:2:3, then show that the...

    Text Solution

    |

  7. Show that, 4 R r cos ""A/2cos ""B/2 cos ""C/2 =Delta

    Text Solution

    |

  8. If in Delta ABC, (a -b) (s-c) = (b -c) (s-a), prove that r(1), r(2), r...

    Text Solution

    |

  9. In a triangle ABC,if 1/r1^2+1/r2^2+1/r3^2+1/r^2=

    Text Solution

    |

  10. Prove that (r1-r)(r2-r)(r3-r)=4R r^2

    Text Solution

    |

  11. Show that ((1)/(r (1))+ (1)/(r(2)))((1)/(r(2))+(1)/(r (3)))((1)/(r (3)...

    Text Solution

    |

  12. Prove that (r+r1)tan((B-C)/2)+(r+r2)tan((C-A)/2)+(r+r3)tan((A-B)/2)=0

    Text Solution

    |

  13. Show that (b-c)/(r (1))+ (c-a)/(r (2))+(a-b)/(r (3)) =0

    Text Solution

    |

  14. If the sides be a,b,c, than find (r(1)- r)(r (2)+r(3)).

    Text Solution

    |

  15. If a,b,c are in AP, then show that r(1), r(2), r(3) are in HP.

    Text Solution

    |

  16. In Delta ABC with usual notation r1/(bc)+r2/(ca)+r3/(ab) is

    Text Solution

    |

  17. Show that r(1)+r(2)=c cot ((C)/(2))

    Text Solution

    |

  18. Show that Rr (sin A+sin B + sin C) =Delta

    Text Solution

    |

  19. Show that 16R^(2)r r(1) r (2) r(3)=a^(2) b ^(2) c ^(2)

    Text Solution

    |

  20. If in a triangle (r)/(r(1)) = (r(2))/(r(3)), then

    Text Solution

    |