Home
Class 12
MATHS
In a triangle , if r(1) = 2r(2) = 3r(3)...

In a triangle , if `r_(1) = 2r_(2) = 3r_(3)`, then `a/b` + `b/c` +` c/a` is equal to

A

`75/60`

B

`155/60`

C

`176/60`

D

`191/60`

Text Solution

Verified by Experts

We have
`r_(1)=2r_(2)=3r_(3)rArra:b:c=5:4:3`
`thereforea/b+b/c+c/a=5/4+4/3+3/5=191/60`
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise SOLVED MCQ|2 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos
  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

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

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

If in a triangle ABC,r_(1)=2,r_(2)=3 and r_(3)=6 ,then b=

In a triangle ABC ,if r_(1)=2r_(2)=3r_(3) then [100-((4a)/(5b))]^(2) is equal to 9800+k , then k=

In triangle ABC, if r_(1)=2r_(2)=3r_(2), then a:b is equal to (5)/(4) (b) (4)/(5)(c)(7)/(4)(d)(4)/(7)

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

With usual notations in a triangle A B C , if r_1=2r_2=2r_3 then 4a=3b (b) 3a=2b 4b=3a (d) 2a=3b

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)

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Section I - Solved Mcqs
  1. In a !ABC , if 3a = b + c , then cot B/2 cot C/2 =

    Text Solution

    |

  2. In !ABC , if sin^(2)A/2,sin^(2)B/2,sin^(2)C/2 be in H.P., then a , b ,...

    Text Solution

    |

  3. In a !ABC , if 1/(b+c)+1/(c+a)=3/(a+b+c), then angleC=

    Text Solution

    |

  4. Observe the following statements: (I) In !ABC,bcos^(2)C/2+ccos^(2)B/2=...

    Text Solution

    |

  5. In a triangle , if r(1) = 2r(2) = 3r(3), then a/b + b/c + c/a is equa...

    Text Solution

    |

  6. Sides a , b , c of !ABC are in A.P. and costheta(1)=a/(b+c)costheta(2)...

    Text Solution

    |

  7. Consider a triangle ABC and let a , b , and c denote the lengths of t...

    Text Solution

    |

  8. If the angle A , B and C of a triangle are in arithmetic progession an...

    Text Solution

    |

  9. Let ABC be a triangle such that angleACB=pi/6 and let a , b and c deno...

    Text Solution

    |

  10. For a regular polygon , let r and R be the radii of the inscribed and ...

    Text Solution

    |

  11. Let PQR be a triangle of ! area with a = 2 , b = 7/2 and c = 5/2, wher...

    Text Solution

    |

  12. ABCD is a trapezium such that AB and CD are parallel and BCbotCD. if a...

    Text Solution

    |

  13. In a triangle PQR ,P is the largest angle and cos P = 1/3 . further th...

    Text Solution

    |

  14. In a triangle the sum of two sides is x and the product of the same tw...

    Text Solution

    |

  15. In !ABC , if (sinA)/(csinB)+(sinB)/c+sinC)/b=c/(ab)+b/(ac)+a/(bc) the...

    Text Solution

    |

  16. In !ABC , if 2b = a + c and A - C =90^(@) , then sin B equals

    Text Solution

    |

  17. In a !XYZ ,let x , y , z be the length of the side opposite to angles....

    Text Solution

    |

  18. If s−x/4= s−y/3=s-z/2 and area of incircle of the triangle XYZ is ...

    Text Solution

    |

  19. If r=sqrt(8/3) and R=35/(4sqrt6) then the value of sin X/2sin Y/2sin ...

    Text Solution

    |

  20. If x=5,y=6,z=7.The value of sin^(2)((X+Y)/2), is

    Text Solution

    |