Home
Class 12
MATHS
In a triangle ABC, 2 ac sin (1/2(A-B + C...

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

A

`a^(2) + b^(2) - c^(2)`

B

`c^(2) + a^(2) - b^(2)`

C

`b^(2) - c^(2) - a^(2)`

D

`c^(2) - a^(2) - b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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 ABC, show that : 2a sin (B/2) sin (C/2)=(b+c-a) sin (A/2)

In a triangle ABC, sin A- cos B = Cos C , then angle B is

In a triangle ABC sin (A/2) sin (B/2) sin (C/2) = 1/8 prove that the triangle is equilateral

In a triangle ABC, if sin A sin B= (ab)/(c^(2)) , then the triangle is :

In a triangle ABC, 2B= A + C and b^(2) = ac , then (a(a+b+c))/(3bc) is

In any triangle ABC, if sin A , sin B, sin C are in AP, then the maximum value of tan ""B/2 is

If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C , then the angle A is

If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C , then the angle A is

In a triange ABC, if sin(A/2) sin (B/2) sin(C/2) = 1/8 prove that the triangle is equilateral.

In a triangle ABC , if cos A cos B + sin A sin B sin C = 1 , then a:b:c is equal to

VMC MODULES ENGLISH-PROPERTIES OF TRIANGLE-JEE Advanced (Archive)
  1. In a triangle ABC, 2 ac sin (1/2(A-B + C)) =

    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

    |