Home
Class 12
MATHS
In a triangle sin^(4)A + sin^(4)B + sin^...

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-

A

`(pi)/6,(5pi)/6`

B

`(pi)/3,(5pi)/6`

C

`(5pi)/6,(2pi)/3`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Chapter Test|55 Videos

  • PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM

    OBJECTIVE RD SHARMA|Exercise Section II - Assertion Reason Type|13 Videos

  • PLANE AND STRAIGHT LINE IN SPACE

    OBJECTIVE RD SHARMA|Exercise Chapter Test|31 Videos

  • REAL FUNCTIONS

    OBJECTIVE RD SHARMA|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

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^(@)

sin ^ (2) A + sin ^ (2) B-sin ^ (2) C = 2sin A sin B cos C

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

In Delta ABC , if sin^(2)A + sin^(2)B = sin^(2)C , then show that a^(2) + b^(2) = c^(2) .

"In triangle ABC " "c(sin^(2)A+sin^(2)B)=sin C(a sin A+b sin B)

If A, B and C are the angles of a triangle and |(1,1,1),(1 + sin A,1 + sin B,1 + sin C),(sin A + sin^(2) A,sin B + sin^(2)B,sin C + sin^(2) C)|= 0 , then the triangle ABC is

In Delta ABC If,(sin^(2)A+sin^(2)B+sin^(2)C)/(cos^(2)A+cos^(2)B+cos^(2)C)=2 Then the triangle is

sin A + sin B-sin C = 4sin ((A) / (2)) sin ((B) / (2)) cos ((C) / (2))

OBJECTIVE RD SHARMA-PROPERTIES OF TRIANGLES AND CIRCLES CONNECTED WITH THEM-Exercise
  1. If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C, then the angle A...

    Text Solution

    |

  2. The side of a Delta are in AP. And its area is 3/5xx (area of an equil...

    Text Solution

    |

  3. In a triangle sin^(4)A + sin^(4)B + sin^(4)C = sin^(2)B sin^(2)C + 2si...

    Text Solution

    |

  4. In any triangle ABC ,(tanA/2-tanB/2)/(tanA/2+tanB/2) is equal to

    Text Solution

    |

  5. If the sides a,b and c of a !ABC are in A.P.,then (tanA/2+tanC/2):co...

    Text Solution

    |

  6. If the sides of the triangle are the roots of the equation x^(3)-2x^(...

    Text Solution

    |

  7. If AD, BE and CF are the medians of a ABC ,then (AD^(2)+BE^(2)+CF^(2))...

    Text Solution

    |

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

    Text Solution

    |

  9. If a^(2),b^(2),c^(2) are in A.P.,then which of the following is also i...

    Text Solution

    |

  10. If in a !ABC , sin^(3)A+sin^(3)B+sin^(3)C=3sinAsinBsinC, then abs(...

    Text Solution

    |

  11. If the ex-radii of a triangle are in H.P.,then the corresponding sides...

    Text Solution

    |

  12. If I is the incentre of a !ABC , then IA:IB:IC is equal to

    Text Solution

    |

  13. In a !ABC ,the HM of the ex-radii is equal to

    Text Solution

    |

  14. In a !ABC if r(1):r(2):r(3)=2:4:6, then a:b:c =

    Text Solution

    |

  15. If in a !ABC,angleA=pi//3 and AD is a median , then

    Text Solution

    |

  16. In a !ABC cos^(2)A/2+cos^(2)B/2+cos^(2)C/2=

    Text Solution

    |

  17. The base of a triangle is 80cm and one of the base angles is 60^(@).If...

    Text Solution

    |

  18. In a !ABC if r(1)=16,r(2)=48 and r(3)=24, then its in-radius ,is

    Text Solution

    |

  19. किसी triangleABC में सिद्ध करे कि ((a + b+ c)^(2))/(a^(2) + b^(2) +...

    Text Solution

    |

  20. In a !ABC if a =26, b= 30 and cos C =63/65, then r(2) =

    Text Solution

    |