Home
Class 12
MATHS
In a triangleABC, a^(2) sin 2C+c^(2) sin...

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

A

`2ca cdot sin B`

B

`2ab cdot cos C`

C

`2bc cdot tan A`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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 triangleABC, a^(2) sin2C + c^(2) sin2A=

In triangleABC, a^(2)sin(B-C)=

Prove that in a triangle ABC , sin^(2)A - sin^(2)B + sin^(2)C = 2sin A *cos B *sin C .

In any triangle ABC,sin^(2)A-sin^(2)B+sin^(2)C is always equal to (A) 2sin A sin B cos C(B)2sin A cos B sin C(C)2sin A cos B cos C(D)2sin A sin B sin C

In a triangleABC, 2ac.sin((A-B+C)/2)=

In triangleABC, sin((B-C)/(2))=

If in a triangle ABC,sin^(4)A+sin^(4)B+sin^(4)C=sin^(2)B sin^(2)C+2sin^(2)C sin^(2)A+2sin^(2)A sin^(2)B ,show that,one of the angles of the triangle is 30^(@) or 150^(@)

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If the angles A,B,C of Delta ABC are in A.P. And its sides a,b,c are i...

    Text Solution

    |

  19. If p1,p2,p3 are the lengths of the altitudes ofa tringle from the ver...

    Text Solution

    |

  20. If a^(2), b^(2), c^(2) are in A.P., then : (cos A)/a, (cos B)/b, (co...

    Text Solution

    |