Home
Class 12
MATHS
If A+B+C =pi, and cos A = cos B. cos C, ...

If `A+B+C =pi, and cos A = cos B. cos C,` then `cot B. cot C =`

A

2

B

3

C

`1//2`

D

5

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Exercise|98 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

If A+B+C= pi and cos A=cos B. cosC,prove that cot B cot C= 1/2

If A+B+C=pi and cos A=cos B cos C then tan B tan C is equal to

If A+B+C=pi and cos A=cos B cos C then tan B.tan C is equal to

If, in Delta ABC, cos A = cos B cdot cos C , then: cot B cdot cot C= .....

If A+B+C=pi & cos A = cos B . Cos C then tan B . Tan C has the value equal to

If A+B+C=pi and cos A= cos B.cos C prove that tan A= tan B+ tan C

a cot A+b cot B+c cot C=

If A + B + C = pi , prove that cos A cosec B cosec C + cos B cosec C cosec A + cos C cosec A cosec B = 2 .

(a + b + c) (cos A + cos B + cos C)

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. In in a triangle ABC, sides a,b,c are in A.P. then tan""A/2 tan""C/2

    Text Solution

    |

  2. In a triangle ABC, cos A+cos B+cos C=

    Text Solution

    |

  3. If A+B+C =pi, and cos A = cos B. cos C, then cot B. cot C =

    Text Solution

    |

  4. In triangle ABC,a(b^2+c^2)cos A+b(c^2+a^2)cosB+c(a^2+b^2)cosC=

    Text Solution

    |

  5. The sides of a triangle are x^2+x+1,2x+1,a n dx^2-1 . Prove that the g...

    Text Solution

    |

  6. In a triangleABC," if "C=60^(@)," then "(a)/(b+c)+(b)/(c+a)=

    Text Solution

    |

  7. In a triangleABC, if a,c,b are in A.P. then the value of (a cos B-b co...

    Text Solution

    |

  8. If a triangle is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  9. If the angle of a righta angled triangle are in A.P. then the ratio of...

    Text Solution

    |

  10. If the angles of a triangle are in the ratio 7:2:1, then prove that th...

    Text Solution

    |

  11. If in DeltaABC, a = 5, b = 4 and cos (A - B) = 31/32, then

    Text Solution

    |

  12. In a triangleABC"if c"=(a+b) sin theta and cos theta=(ksqrtab)/(a+b),"...

    Text Solution

    |

  13. In triangleABC," if"(s-a)/(Delta)=1/8, (s-b)/(Delta)=1/12 and (s-c)/(D...

    Text Solution

    |

  14. In a triangle ABC if 2a=sqrt(3)b+c, then possible relation is

    Text Solution

    |

  15. If in a triangle A B C ,acos^2(C/2)ccos^2(A/2)=(3b)/2, then the sides ...

    Text Solution

    |

  16. The sides of a right angled triangle arein A.P, then they are in the ...

    Text Solution

    |

  17. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

    Text Solution

    |

  18. ln a triangle ABC, B=90^@ then the value of tan(A/2)=

    Text Solution

    |

  19. In a triangleABC" if "a=5, b=4 and tan""C/2=sqrt7/3"then c=

    Text Solution

    |

  20. In a triangleABC, if angle C=60^(@) then (a)/(b+c)+(b)/(c+a)=

    Text Solution

    |