Home
Class 12
MATHS
prove that : triangle ABC, 1/r1+1/r2+1/r...

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

A

`3/r`

B

`2/r`

C

`1/r`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(TRUE AND FALSE)|9 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (4)(FILL IN THE BLANKS)|3 Videos
  • PROPERTIES OF TRIANGLES

    ML KHANNA|Exercise Problem Set (3)(FILL IN THE BLANKS)|2 Videos
  • PROGRESSIONS

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (ASSERTION/REASON) |1 Videos
  • RECTANGULAR CARTESIAN CO-ORDINATE SYSTEM AND THE STRAIGHT LINE

    ML KHANNA|Exercise COMPREHENSION |11 Videos

Similar Questions

Explore conceptually related problems

In a triangle ' ABC,r_(-)1

In an acute angled triangle ABC, r + r_(1) = r_(2) + r_(3) and angleB gt (pi)/(3) , then

Prove that a triangle is right angled if (1-(r_(1))/(r_(2)))(1-(r_(1))/(r_(3))) = 2

In a Triangle ABC, if (1)/(r12)+(1)/(r22)+(1)/(r32)+(1)/(r^(2))=

If in a triangle ABC, r_(1)+r_(2)+r_(3)=9r , then the triangle is necessarily

ln a triangle ABC, r_(1) + r =r_(2) + r_(3) . lf the measure of angle A is 60°, then s/a=

In triangle ABC,(r_(1)+r_(2)+r_(3)-r) is equal to

In triangle ABC,if (1-(r_(1))/(r_(2)))(1-(r_(2))/(r_(3)))=2 then the triangle is

In a triangle ABC,if (1)/(r_(1)^(2))+(1)/(r_(2)^(2))+(1)/(r_(3)^(2))+(1)/(r^(2))=

ML KHANNA-PROPERTIES OF TRIANGLES -Problem Set (4)(MULTIPLE CHOICE QUESTIONS)
  1. 1/(r1^2)+1/(r2^2)+1/(r3^2)+1/(r^2)=

    Text Solution

    |

  2. (1/r1 + 1/r2)(1/r2 + 1/r3)(1/r3 + 1/r1)=

    Text Solution

    |

  3. prove that : triangle ABC, 1/r1+1/r2+1/r3=1/r

    Text Solution

    |

  4. If a triangle of maximum area is inscribed within a circle of radius R...

    Text Solution

    |

  5. Prove that : (r1-r)/(a) +(r2-r)/(b) = (c )/(r3).

    Text Solution

    |

  6. (r1+r2)(r2+r3)(r3+r1)=

    Text Solution

    |

  7. 1/(bc)+1/(ca)+1/(ab)=

    Text Solution

    |

  8. (r1)/((s-b)(s-c))+(r2)/((s-c)(s-a))+(r3)/((s-a)(s-b))=

    Text Solution

    |

  9. In A B C ,(a b-r1r2)/(r3),w h e r ea ,b ,r1r2, r3, Randr have usual me...

    Text Solution

    |

  10. Value of the expression (b-c)/(r1)+(c-a)/(r2)+(a-b)/(r3) is equal to 1...

    Text Solution

    |

  11. If in a triangle (1-(r(1))/(r(2)))(1-(r(1))/(r(3)))=2, then the trian...

    Text Solution

    |

  12. If the sides of a triangle are in A.P. as well as in G.P. then the val...

    Text Solution

    |

  13. If r1=r2+r3+r prove that the triangle is right angled .

    Text Solution

    |

  14. If in Delta ABC, 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle ABC...

    Text Solution

    |

  15. In a triangle ABC, if (a-b)/(b-c)= (s-a)/(s-c), then r1,r2,r3 are in

    Text Solution

    |

  16. If r1 , r2 , r3 in a triangle be in H.P. then the sides are

    Text Solution

    |

  17. The hormonic mean of r1 ,r2, r3 is

    Text Solution

    |

  18. In a triangle if angleC=90^@ " then " R+r=

    Text Solution

    |

  19. In DeltaABC," if " angleC=90^(@)," then " (a+c)/(b)+(b+c)/(a) is equal...

    Text Solution

    |

  20. The in- radius of the triarigle formed by the axes and the line 4x + 3...

    Text Solution

    |