Home
Class 12
MATHS
In any triangle A B C , prove that: \ a^...

In any triangle `A B C ,` prove that: `\ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A-B)=0`

Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise Level - 2|55 Videos

  • PROPERTIES OF TRIANGLE

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|35 Videos

  • PROBABILITY

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|102 Videos

  • QUADRATIC EQUATIONS & INEQUATIONS

    VMC MODULES ENGLISH|Exercise JEE Advance ( Archive )|20 Videos

Similar Questions

Explore conceptually related problems

In any triangle A B C , prove that: \ asin(B-C)+b sin(C-A)+csin(A-B)=0

In any triangle A B C , prove that: a^3cos(B-C)+b^3cos(C-A)+c^3cos(A-B)=3a b c

In any triangle A B C , prove that: acos((B-C)/2)=(b+c)sin(A/2)

In any DeltaABC prove that, a^(3)sin(B-C)+b^(3)sin(C-A)+c^(3)sin(A-B)=0 .

In any triangle A B C , prove that following: \ \ a^2sin(B-C)=(b^2-c^2)sinA

In any triangle A B C , prove that: (a^2sin(B-C))/(sinB+ sin C)+(b^2sin(C-A))/(sinC+ sin A)+(c^2sin(A-B))/(sinA+ sin B)=0

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

In any triangle ABC, prove that sin^3Acos(B-C)+sin^3Bcos(C-A)+sin^3Ccos(A-B) = 3sinAsinBsinC

In any triangle A B C prove that: sin((B-C)/2)=((b-c)/a)cosA/2

In any triangle A B C , prove that following: \ (a^2"sin"(B-C))/(sin A)+(b^2"sin"(C-A))/(sin B)+(c^2"sin"(A-B))/(sin C)=0

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. In any triangle A B C , prove that: \ a^3sin(B-C)+b^3sin(C-A)+c^3sin(A...

    Text Solution

    |

  2. If the angles A, B and C of a triangle are in an arithmetic progressio...

    Text Solution

    |

  3. In a Delta ABC, among the following which one is ture ?

    Text Solution

    |

  4. The side of a triangle are in the ratio 1 : sqrt3:2, then the angles o...

    Text Solution

    |

  5. If the angles of a triangle are in the ratio 4:1:1, then the ratio of ...

    Text Solution

    |

  6. In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

    Text Solution

    |

  7. In a triangle PQR, ∠R=π/2.If tan(P/2) & tan(Q/2), are the roots of the...

    Text Solution

    |

  8. If in a triangle PQR; sin P, sin Q, sin R are in A.P; then (A)the alt...

    Text Solution

    |

  9. In a DeltaABC, angleB=(pi)/(3) and angleC=(pi)/(4) let D divide BC in...

    Text Solution

    |

  10. Let A B C be a triangle such that /A C B=pi/6 and let a , b and c deno...

    Text Solution

    |

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

    Text Solution

    |

  12. One angle of an isosceles triangle is 120^0 and the radius of its incr...

    Text Solution

    |

  13. In a triangle, the sum of two sides is x and the product of the same t...

    Text Solution

    |

  14. Which of the following pieces of data does NOT uniquely determine an ...

    Text Solution

    |

  15. In triangle ABC, let angle C = pi//2. If r is the inradius and R is ci...

    Text Solution

    |

  16. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  17. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  18. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. A triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  21. Internal bisector of angle A of Delta ABC meets side BC to D. A line ...

    Text Solution

    |