Home
Class 12
MATHS
If A , B ,C are angles of a triangles, t...

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`

A

1

B

-1

C

-2

D

-4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|11 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Passage Based Questions)|21 Videos

  • DETERMINANTS

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 4|10 Videos

  • DEFINITE INTEGRAL

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|38 Videos

  • DIFFERENTIAL EQUATION

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|26 Videos

Similar Questions

Explore conceptually related problems

If A , B ,C are angles of a triangle, 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 (a) 1 (b) -1 (c) -2 (d) -4

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

The maximum value of x^4e^ (-x^2) is (A) e^2 (B) e^(-2) (C) 12 e^(-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 and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=3/4 , then write Area ( A B C): A r e a( D E F) .

If A B C and D E F are two triangles such that (A B)/(D E)=(B C)/(E F)=(C A)/(F D)=2/5 , then A r e a( A B C): A r e a( D E F)=

The domain of f(x)i s(0,1)dot Then the domain of (f(e^x)+f(1n|x|) is (a)(-1, e) (b). (1, e) (c).(-e ,-1) (d) (-e ,1)

The value of int_0^(pi//2)cosx\ e^(sin x)dx\ i s a. 1 b. e-1 c. 0 d. -1

If A B C and D E F are similar triangles such that 2\ A B=D E and B C=8c m , then E F=

The sum of series 1/2!+1/4!+16!+………. is (A) (e^2-1)/2 (B) (e^2-2)/e (C) (e^2-1)/(2e) (D) )(e-1)^2)/(2e)

ARIHANT MATHS ENGLISH-DETERMINANTS -Exercise (Single Option Correct Type Questions)
  1. If a, b, c are sides of a triangle and |(a^2,b^2,c^2),((a+1)^2,(b+1...

    Text Solution

    |

  2. Find dy/dx if x^2+xy+y^2=100

    Text Solution

    |

  3. If |[a,b-c,c+b],[a+c,b,c-a],[a-b,a+b,c]|=0 , then the line a x+b y+c=0...

    Text Solution

    |

  4. If f(x)=a+b x+c x^2 and alpha,beta,gamma are the roots of the equation...

    Text Solution

    |

  5. when the determinant |{:(cos2x,,sin^(2)x,,cos4x),(sin^(2)x,,cos2x,,co...

    Text Solution

    |

  6. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  7. The determinant |y^2-x y x^2a b c a ' b ' c '| is equal to |b x+a y c ...

    Text Solution

    |

  8. If A , B ,C are angles of a triangles, then the value of e^(2i A)e^(-i...

    Text Solution

    |

  9. If |[ x^n ,x^(n+2) ,x^(2n)],[1 ,x^a , a ],[x^(n+5),x^(a+6),x^(2n+5)]...

    Text Solution

    |

  10. If x,y and z are the integers in AP lying between 1 and 9 and x 51, ...

    Text Solution

    |

  11. if a(1)b(1)c(1), a(2)b(2)c(2)" and " a(3)b(3)c(3) are three-digit ev...

    Text Solution

    |

  12. Expand | (4,8),(6,7)|

    Text Solution

    |

  13. If x(1),x(2) "and" y(1),y(2) are the roots of the equations 3x^(2) ...

    Text Solution

    |

  14. If |{:(.^(9)C(4),.^(9)C(5),.^(10)C(r)),(.^(10)C(6 ),.^(10)C(7),.^(11)C...

    Text Solution

    |

  15. If f(x), h(x) are polynomials of degree 4 and |(f(x), g(x),h(x)),(a, b...

    Text Solution

    |

  16. If f(x) =|{:(cos (x+alpha),cos(x+beta),cos(x+gamma)),(sin (x+alpha),si...

    Text Solution

    |

  17. if |{:(1,,1,,1),(a,,b,,c),(a^(3),,b^(3),,c^(3)):}|= (a-b)(b-c)(c-a)(a+...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If a , b , c are non-zero real numbers and if the system of equations ...

    Text Solution

    |

  20. the set of equations lambdax-y+(cos theta) z=0,3x+y+2z=0 (cos theta...

    Text Solution

    |