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

`Delta`

B

`2Delta`

C

`3Delta`

D

`4Delta`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA ENGLISH|Exercise Exercise|97 Videos
  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|31 Videos
  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|58 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC, b^(2) sin 2C + c^(2) sin 2B = 2bc where b = 20, c = 21 , then inradius =

In any triangle ABC b^(2)sin2C+c^(2)sin2B=

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

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

lf in DeltaABC,b^(2)sin 2C + c^(2) sin 2B = 2bc,then the triangle is

If Delta denotes the area of DeltaABC , then b^(2) sin 2C + c^(2) sin 2B is equal to

In sub - part (i) to (x) choose the correct option and in sub - part (xi) to (xy), answer the questions as intructed . In any triangle ABC, (b^(2)-c^(2))/(a^(2))sin2A+(c^(2)-a^(2))/(b^(2))sin2B+(a^(2)-b^(2))/(c^(2))"sin"2C= ________

In a triangle ABC sin(B+2C)+sin(C+2A)+sin(A+2B)=4sin((B-C)/2)sin((C-A)/2)sin((A-B)/2)

In a triangle 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 , then its angle A is equal to-

In a DeltaABC,R^(2) (sin 2A+sin 2B+sin 2C)=

OBJECTIVE RD SHARMA ENGLISH-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Chapter Test
  1. The perimeter of a triangle is 16 cm. One ofthe sides is of length 6 c...

    Text Solution

    |

  2. In a triangleABC," if "(a)/(b^(2)-c^(2))+(c)/(b^(2)-a^(2))=0," then "a...

    Text Solution

    |

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

    Text Solution

    |

  4. Prove that (cos C + cos A)/(c + a) + (cos B)/(b) = (1)/(b)

    Text Solution

    |

  5. If the sides of triangle a, b, c be in A.P. then tan.(A)/(2)+tan.(C )/...

    Text Solution

    |

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

    Text Solution

    |

  7. if A+ B + C = pi, and cos A = cos B cos C, show that 2 cot B cot C=1.

    Text Solution

    |

  8. Prove that a(b^(2) + c^(2)) cos A + b(c^(2) + a^(2)) cos B + c(a^(2) +...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  12. If a DeltaABC is right angled at B, then the diameter of the incircle ...

    Text Solution

    |

  13. The angle of a right-angled triangle are in AP. Then , find the ratio ...

    Text Solution

    |

  14. The angle of a triangle are in the ratio 1 : 2 : 7, prove that the rat...

    Text Solution

    |

  15. In DeltaABC, let a=5, b=4 and cos (A-B=(31)/(32)), then which of the f...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If in a triangle A B C ,acos^2(C/2)+ c cos^2(A/2)=(3b)/2, then the si...

    Text Solution

    |

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

    Text Solution

    |