Home
Class 12
MATHS
In Delta ABC a cdot sin(B - C) + b cdo...

In `Delta ABC`
`a cdot sin(B - C) + b cdot sin (C - A) + c cdot sin (A - B) = `

A

`-2`

B

`-1`

C

0

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - B : MASTERING THE BEST|58 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART-B: MASTERING THE BEST|27 Videos

  • TRIGONOMETRIC FUNCTIONS

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE|152 Videos

  • THREE DIMENSIONAL GEOMETRY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|39 Videos

  • VECTORS

    MARVEL PUBLICATION|Exercise TEST YOUR GRASP|20 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC (b-c) cdot sin A + (c - a) cdot sin B + (a - b) cdot sin C = .....

In Delta ABC, (sin A (a - b cos C))/(sin C (c -b cos A))=

In any Delta ABC , prove that a("sin B - sin C")+b("sin C - sinA")+c("sinA - sinB")=0 .

In Delta ABC, prove that (a^(2)sin (B-C))/(sin A) + (b^(2) sin (C-A))/(sin B) + (c^(2) sin (A-B))/(sin C) = 0

In a Delta ABC , 2 sinA cos B + 2 sin B cos C + 2 sin cos A = sin A + sin B + sin C, then Delta ABC is

If Delta ABC is right -angled at C, then: (a^2 + b^2)/(a^2 - b^2) cdot sin (A - B) =....

If, in a Delta ABC, (s - b)(s-c) = x cdot sin^(2) (A/2) , then : x =

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

Prove that in any Delta ABC,a sin(B-C)+b sin(C-A)+c sin(A-B)=0

In any triangle ABC,prove that a sin (B-C)+b sin(C-A)+c sin(A-B)=0

MARVEL PUBLICATION-TRIGONOMETRIC FUNCTIONS-MULTIPLE CHOICE QUESTIONS - PART - A : BUILDING-UP THE BASE (B) Properties of triangles
  1. If sinA + sin B + sin C = (3sqrt(3))//2 then Delta ABC is

    Text Solution

    |

  2. If : cos^(2) A + cos^(2) B + cos^(2) C = 1, "then" : Delta ABC is

    Text Solution

    |

  3. In Delta ABC a cdot sin(B - C) + b cdot sin (C - A) + c cdot sin (A ...

    Text Solution

    |

  4. If cos A = (sin B)/(2 sin C) , then Delta ABC is

    Text Solution

    |

  5. If, in a /\ ABC, (2 cos A)/a + (cos B)/(b) + (2 cos C)/(c) = a/(bc) ...

    Text Solution

    |

  6. In Delta ABC (b-c) cdot sin A + (c - a) cdot sin B + (a - b) cdot si...

    Text Solution

    |

  7. In any triangle A B C , prove that following: \ (cos^2B-cos^2C)/(b+c)+...

    Text Solution

    |

  8. If the sides of a triangle are x, y and sqrt((x^(2) + xy + y^(2))), t...

    Text Solution

    |

  9. In any DeltaABC, prove that : (a^2 sin (B-C))/(sin B + sin C) + (b^2 s...

    Text Solution

    |

  10. In any DeltaABC, prove that : (b+c) cos A + (c+a) cos B + (a+b) cos C ...

    Text Solution

    |

  11. If theta is real , then: c cdot cos(A - theta) + a cdot cos(C + theta)...

    Text Solution

    |

  12. In Delta ABC, (cot B + cot C)/(cot C + cot A) = ....

    Text Solution

    |

  13. If : 2 sin B cdot cos C = sin A, then Delta ABC is

    Text Solution

    |

  14. If A = 3B and a = 2b, then :m /B = ...

    Text Solution

    |

  15. If mangleA = 60^(@), then (a+b+c)(-a+b+c)=….

    Text Solution

    |

  16. If a ,c , b are in A.P., then : a cos B - b cos A = ........

    Text Solution

    |

  17. In Delta ABC,(cos 2A)/(a^2) - (cos2B)/(b^2) = ......

    Text Solution

    |

  18. In Delta ABC, (tan B)/(tan C) = .........

    Text Solution

    |

  19. In a triangleABC, a^(2) sin 2C+c^(2) sin 2A=

    Text Solution

    |

  20. If Delta ABC is right -angled at C, then: (a^2 + b^2)/(a^2 - b^2) cd...

    Text Solution

    |