Home
Class 12
MATHS
(r1)/((s-b)(s-c))+(r2)/((s-c)(s-a))+(r3)...

`(r_1)/((s-b)(s-c))+(r_2)/((s-c)(s-a))+(r_3)/((s-a)(s-b))=`

A

`1/r`

B

`2/r`

C

`3/r`

D

`4/r`

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

If 2 s=a+b+c, then show that : |{:(a^(2),(s-a)^(2),(s-a)^(2)),((s-b)^(2),b^(2),(s-b)^(2)),((s-c)^(2),(s-c)^(2),c^(2)):}|=2 s^(3)(s-a)(s-b)(s-c)

If 2s=a+b+c, prove that (s-a)^(3)+(s-b)^(3)+(s-c)^(3)-3(s-a)(s-b)(s-c)=(1)/(2)(a^(3)+b^(3)+c^(3)-3abc)

If s_(n)=sum_(r

In ABC, show that a^(2)(s-a)+b^(2)(s-b)+c^(2)(s-c))=4R(a+r sin((A)/(2))sin((B)/(2))sin((C)/(2)))

If (s-a) +(s-b) +(s-c) =s , then the vlaue of ((s-a)^(2) +(s-b)^(2) +(s-c)^(2) +s^(2))/(a^(2) +b^(2)+c^(2)) will be

In Delta ABC, if (a-b)(s-c)=(b-c)(s-a) then r_(1),r_(2),r_(3) are in

If in Delta ABC, (a -b) (s-c) = (b -c) (s-a) , prove that r_(1), r_(2), r_(3) are in A.P.

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

    Text Solution

    |

  2. 1/(bc)+1/(ca)+1/(ab)=

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. In a triangle ABC , let angleC=(pi)/2. If r is the in-radius and R is ...

    Text Solution

    |

  17. In a triangle ABC right angled at B, the inradius r is equal to

    Text Solution

    |

  18. In an acute angled triangle which one of the following is true

    Text Solution

    |

  19. Two sides of a triangle are 2 and sqrt3 and the included angle is 30^@...

    Text Solution

    |

  20. Two sides of a triangle are the roots of the equation x^2 - 5x +6=0. I...

    Text Solution

    |