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

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`

Promotional Banner

Topper's Solved these Questions

  • DETERMINANT

    CENGAGE|Exercise Multiple Correct Answer|5 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

Similar Questions

Explore conceptually related problems

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

The value of e^(I theta) - e^(-itheta) is …….

If a,b,c are in H.P , b,c,d are in G.P and c,d,e are in A.P. , then the value of e is

The value of lim_(x rarr 1)(2-x)^(tan((pix)/2)) is (a) e^(-2/pi) (b) e^(1/pi) (c) e^(2/pi) (d) e^(-1/pi)

(1 + e^(-i theta))/(1 + e^(i theta)) =

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

Integrate the following with respect to x. (i) (e^(2x) - 1)/(e^x) " " (ii) e^(3x)(e^(2x - 1)) .

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 minimum value of e^(2x^2-2x+1)sin^2x is e (b) 1/e (c) 1 (d) 0

The value of int_1^(e^(37))(pisin(piI nx))/xdx is (a)2 (b) 4 (c) e^(27) (d) e^(37)

CENGAGE-DETERMINANTS-All Questions
  1. Find the value of lambda if 2x^2+7x y+3y^2+8x+14 t+lambda=0 represents...

    Text Solution

    |

  2. If x ,y ,z are different from zero and "Delta"=|[a, b-y ,c-z],[ a-x, ...

    Text Solution

    |

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

    Text Solution

    |

  4. For the equation |[1,x,x^2],[x^2, 1,x],[x,x^2, 1]|=0, There are exa...

    Text Solution

    |

  5. Let "Delta"r=|r-1n6(r-1)^2 2n^2 4n-2(r-1)^2 3n^3 3n^2-3n|dot Show that...

    Text Solution

    |

  6. Let m be a positive integer and Deltar=|[2r-1,.^mCr,1],[m^2-1,2^m,m+1]...

    Text Solution

    |

  7. Prove that |1+a 1 1 1 1 1+b 1 1 1 1 1+c ...

    Text Solution

    |

  8. Find the area of a triangle having vertices A(3,2),B(11 ,8), and C(8,1...

    Text Solution

    |

  9. If Dk=1nn2k n^2+n+1n^2+n2k-1n^2n^2+n+1a n dsum(k=1)^n Dk=56. then n eq...

    Text Solution

    |

  10. If a!=p ,b!=q ,c!=ra n d|p b c a q c a b r|=0, then find the value of ...

    Text Solution

    |

  11. If x1,x2,x3 as well as y1, y2, y3 are in G.P. with same common rati...

    Text Solution

    |

  12. If the linesa1x+b1y+1=0,\ a2x+b2y+1=0\ a n d\ a3x+b3y+1=0 are concurre...

    Text Solution

    |

  13. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

    Text Solution

    |

  14. The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, a...

    Text Solution

    |

  15. If varphi(alpha,beta)=|cosalpha-s inalpha1s inalphacosalpha1"cos"(alph...

    Text Solution

    |

  16. If the lines a x+y+1=0,x+b y+1=0a n dx+y+c=0(a ,b ,c being distinct...

    Text Solution

    |

  17. If (1 + ax + b x^2)^4 = a0 +a1 x + a2 x^2 +...+a8 x^8 when a,b,a0,a1,a...

    Text Solution

    |

  18. Find the value of lambda for which the homogeneous system of equations...

    Text Solution

    |

  19. If f,g,a n dh are differentiable functions of xa n d(x)=|fgh(xf)'(xg...

    Text Solution

    |

  20. If, a,b,c are positive and unequal,show that value of the determinant ...

    Text Solution

    |