Home
Class 12
MATHS
If A,B and C are angle of a triangle of ...

If A,B and C are angle of a triangle of a triangle ,the value of `|{:(e^(2iA),e^(-iC),e^(-iB)),(e^(-iC),e^(-2iB),e^(-iA)),(e^(-iB),e^(-iBA),e^(2iC)):}|` is (where i=`sqrt(-1))`

A

`-1`

B

`-4`

C

`0`

D

`4`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (LEVEL 2 SINGLE CORRECT ANSWER TYPE QUESTIONS)|22 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS)|17 Videos
  • DETERMINANTS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|18 Videos
  • DEFINITE INTEGRALS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|18 Videos
  • DIFFERENTIABILITY AND DIFFERENTIATION

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |16 Videos

Similar Questions

Explore conceptually related problems

If A,B and C are angle of a triangle of a triangle ,the value of |{:(e^(2iA),e^(-iC),e^(-iB)),(e^(-iC),e^(2iB),e^(-iA)),(e^(-iB),e^(-iA),e^(2iC)):}| is (where i= sqrt(-1))

If A,B and C are angles of a triangle ABC then the value of |[4e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), 4e^(2iB), e^(-iA)] , [e^(-iB), e^(-iA), 4e^(2iC)]| is

In triangle ABC ,, the value of, e^(-i2A), e^(iC), e^(iB) e^(iC), e^(-i2B), e^(iA) e^(iB) , e^(iA), e^(-i2C)] |

If A , B ,C are angles of a triangles, then the value of |[e^(2i A),e^(-i C),e^(-i B)],[e^(-i C),e^(2i B),e^(-i A)],[e^(-i B),e^(-i A),e^(2i C)]| is 1 b. -1 c. -2 d. -4

The maximum value of x^(4)e^(-x^(2)) is (A) e^(2)(B)e^(-2)(C)12e^(-2)(D)4e^(-2)

If alpha + beta + gamma = pi , then the value of the determinant |(e^(2i alpha),e^(-i gamma),e^(-i beta)),(e^(-i gamma),e^(2i beta),e^(-i alpha)),(e^(-i beta),e^(-i alpha),e^(2i gamma))| , is

If A+B+C, = pi and e^(i theta) = cos theta+i sin theta and z = det [[e^(-iC), e^(2iB), e^(-iA) e^ (-iB), e^(-iA), e^(2iC)]], then

MCGROW HILL PUBLICATION-DETERMINANTS-SOLVED EXAMPLES (LEVEL 1 SINGLE CORRECT ANSWER TYPE QUESTIONS)
  1. Suppose n,m are natural numbers and f(x)=|(1,(1+x)^(m),(1+mx)^(mn)),...

    Text Solution

    |

  2. Suppose a,b,c are sides of a scalene triangle. Let Delta=|(a,b,c),(b...

    Text Solution

    |

  3. If A,B and C are angle of a triangle of a triangle ,the value of |{:(...

    Text Solution

    |

  4. Show that if x(1),x(2),x(3) ne 0 |{:(x(1) +a(1)b(1),,a(1)b(2),,a(1)b...

    Text Solution

    |

  5. Let plamda^(4)+qlamda^(3)+rlamda^(2)+slamda+t =|(lamda^(2)+3lamda,la...

    Text Solution

    |

  6. Let Delta=|(1,-4,20),(1,-2,5),(1,2,5x^(2))| Solution set of Delta=0 is

    Text Solution

    |

  7. Prove that |{:(1, a, a^(2)-bc),(1, b, b^(2)-ca), (1, c, c^(2)-ab):}|=...

    Text Solution

    |

  8. Suppose a,b,c,gt0 and a,b,c are the pth, qth, rth terms of a G.P. Let ...

    Text Solution

    |

  9. Let omega = - (1)/(2) + i (sqrt3)/(2), then the value of the determina...

    Text Solution

    |

  10. If a,b,c be respectively the p^(th),q^(th)andr^(th) terms of a H.P., ...

    Text Solution

    |

  11. If 1,omega , omega^2 are the cube roots of unity , then Delta=|(1,ome...

    Text Solution

    |

  12. Using properties of determinants, prove that |b+c q+r y+z c+a r+p ...

    Text Solution

    |

  13. If x=-2 and Delta=|(x+y,x,x),(5x+4y,4x,2x),(10x+8y,8x,3x)| then numeri...

    Text Solution

    |

  14. If a=omega!=1, is a cube root of unity b=785,c=2008i and Delta=|(a,a...

    Text Solution

    |

  15. for x,x,z gt 0 Prove that |{:(1,,log(x)y,,log(x)z),(log(y)x,,1,,log(y)...

    Text Solution

    |

  16. Let omega!=1 be a cube root of unit and Delta=|(1-omega-omega^(2),2,...

    Text Solution

    |

  17. Suppose x=-1/3(1+sqrt(7)i) and y="cos"(pi)/4+I"sin"(pi)/4 Let Delta=...

    Text Solution

    |

  18. Let x="cos"(pi)/3+i "sin"(pi)/3 and Delta=|(1,x,x^(2)),(x^(2),1,x),(...

    Text Solution

    |

  19. Let f(x)=[2^(-x^(2))[2x^(2)]],x epsilon R ( [ ] denotes the greatest i...

    Text Solution

    |

  20. If omega!=1 is a cube root of unity and Delta=|(x+omega^(2),omega,1)...

    Text Solution

    |