Home
Class 12
MATHS
Show that ((1)/(r (1))+ (1)/(r(2)))((1)/...

Show that `((1)/(r _(1))+ (1)/(r_(2)))((1)/(r_(2))+(1)/(r _(3)))((1)/(r _(3))+(1)/(r_(1)))=(64 R^(3))/(a ^(2)b^(2) c^(2))`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 4|10 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 5|7 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise For Sesssion 2|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

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

Show that r_(1)+r_(2)=c cot ((C)/(2))

If the lengths of the perpendiculars from the vertices of a triangle ABC on the opposite sides are p_(1), p_(2), p_(3) then prove that (1)/(p_(1)) + (1)/(p_(2)) + (1)/(p_(3)) = (1)/(r) = (1)/(r_(1)) + (1)/(r_(2)) + (1)/(r_(3)) .

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

Prove that (r_(1) -r)/(a) + (r_(2) -r)/(b) = (c)/(r_(3))

Prove that (r_(1) -r)/(a) + (r_(2) -r)/(b) = (c)/(r_(3))

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

If r_(1), r_(2) ,r_(3) are the ex-radii of DeltaABC, then prove that (bc)/(r_(1))+(ca)/(r _(2))+(ab)/(r _(3))=2R [((a)/(b)+(b)/a)+((b)/(c)+(c)/(b))+((c)/(a)+ (a)/(c))-3]

Prove that r_(1) r_(2) + r_(2) r_(3) + r_(3) r_(1) = (1)/(4) (a + b + c)^(2)

In triangle ABC .If (r_(1)+ r _(2))(r _(2)+ r _(3)) (r_(3)+r_(1))=4Rs^(2) Then prove it

ARIHANT MATHS-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 ex-radii r(1), r(2), r(3) of a DeltaABC are in Hp, show that its s...

    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

    |