Home
Class 12
MATHS
In a DeltaABC, if |(1,a,b),(1,c,b),(1,b,...

In a `DeltaABC`, if `|(1,a,b),(1,c,b),(1,b,c)|=0` then
`sin^(2)A+sin^(2)B+sin^(2)C` is :

A

`9//4`

B

`5//4`

C

2

D

`3sqrt(3)//2`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. AIEEE/JEE Main Papers|48 Videos

  • THE DIMENSIONAL GEOMETRY

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|25 Videos

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|20 Videos

Similar Questions

Explore conceptually related problems

In a Delta ABC " if " |(1,a,b),(1,c,a),(1,b,c)| =0 , then sin^(2) A + sin^(2) B + sin^(2) C is

In a triangle ABC, with usual notations, if |[1,a,b] , [1,c,a] , [1,b,c]|=0 then 4sin^2A+24sin^2B+36sin^2C=

det [[1,1,1sin A, sin B, sin Csin ^ (2) A, sin ^ (2) B, sin ^ (2) C]] =

a, b, c are the lengths of three sides of a DeltaABC . If a, b, c are related by the relation a^(2)+b^(2)+c^(2)=ab+bc+ca , then the value of (sin^(2)A+sin^(2)B+sin^(2)C) is

If in a triangle ABC, |{:(1, sin A ,sin^(2)A),(1,sin B , sin^(2)B),(1, sin C, sin^(2)C):}|= 0 then the triangle is

det[[ In Delta ABC, if ,1,11+sin A,1+sin B,1+sin Csin A+sin^(2)B,sin B+sin^(2)C,sin C+sin^(2)A]]

MCGROW HILL PUBLICATION-TRIGONOMETRICAL IDENTITIES AND EQUATIONS -Questions from Previous Years. B-Architecture Entrance Examination Papers
  1. The number of solutions of the equation tan x+secx=2cosx lying in the ...

    Text Solution

    |

  2. For theta pi 0, if cos theta+sec theta =2, then cos^(n)theta+sec^(n)th...

    Text Solution

    |

  3. If for real p the equation sin^(6)x+cos^(6)x=p always has a real solut...

    Text Solution

    |

  4. The value of "cos"^(4)(pi)/(8)+"cos"^(4)(3pi)/(8)+"cos"^(4)(5pi)/(8)+"...

    Text Solution

    |

  5. The value of "sin"(pi)/(14)*"sin"(3pi)/(14)*"sin"(5pi)/(14) is

    Text Solution

    |

  6. Let 0 lt alpha, beta le pi//4. If cos(alpha+beta)=4//5 and sin(alpha-b...

    Text Solution

    |

  7. The sides of a triangle are sin beta, cos beta and sqrt(1+a sin 2 beta...

    Text Solution

    |

  8. If cos25^(@)+sin25^(@)=K, when cos50^(@) equals

    Text Solution

    |

  9. tan9^(@)-tan27^(@)-tan63^(@)+tan81^(@) is equal to:

    Text Solution

    |

  10. If a and b are such that a sin theta=b cos theta for 0 le theta lt (pi...

    Text Solution

    |

  11. The value of tan 9^(@) - tan 27^(@)- tan 63^(@)+ tan 81^(@) is

    Text Solution

    |

  12. In a DeltaABC, if |(1,a,b),(1,c,b),(1,b,c)|=0 then sin^(2)A+sin^(2)...

    Text Solution

    |

  13. Let (3pi)/(4) lt theta lt pi and sqrt(2cot theta +(1)/(sin^(2)theta))...

    Text Solution

    |

  14. The maximum value of f(x)=2sin x+sin2x, in the interval [0, (3pi)/(...

    Text Solution

    |

  15. For all values of theta in (0, (pi)/(2)), the determinant of the matr...

    Text Solution

    |

  16. The value of (1)/(cos(285^(@)))+(1)/(sqrt(3)sin(255^(@))) is

    Text Solution

    |

  17. If e^((sin^(2)x+sin^(4)x+…+"ad inf.")log(e )2), (0 lt x lt pi//2), sat...

    Text Solution

    |

  18. The total number of x in [0, 2pi] which satisfy the equation 4(cos^(10...

    Text Solution

    |

  19. If cos (alpha+beta)=(4)/(5) and sin(alpha-beta)=(5)/(13), where alpha,...

    Text Solution

    |

  20. If sin(alpha-beta)=(5)/(13) and cos(alpha+beta)=(3)/(5), then tan(2alp...

    Text Solution

    |