Home
Class 12
MATHS
In a triangle ABC if Delta=|(e^(i2A),e...

In a triangle ABC if
`Delta=|(e^(i2A),e^(-iC),e^(iB)),(e^(-iC),e^(i2B),e^(-iA)),(e^(-iB),e^(-iA),e^(-i2C))|` then `|Delta|=` (where |.| denote absolute value)

Text Solution

Verified by Experts

The correct Answer is:
4
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 40

    NTA MOCK TESTS|Exercise MATHEMATICS|30 Videos

  • NTA TPC JEE MAIN TEST 42

    NTA MOCK TESTS|Exercise MATHEMATICS (SUBJECTIVE NUMERICAL)|10 Videos

Similar Questions

Explore conceptually related problems

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 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 ,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

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

If Delta(x)=|(1,1,1),((e^(x)+e^(-x))^(2),(pi^(x)+pi^(-x))^(2),2),((e^(x)-e^(-x))^(2),(pi^(x)-pi^(-x))^(2),-2)| then Delta(x) equals

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

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 41-MATHEMATICS
  1. For an isosceles triangle, the ends of the base are given by the point...

    Text Solution

    |

  2. If the line (x-2)/3=(y+1)/2=(z-1)/(-1) intersects the plane 2x+3y-z+13...

    Text Solution

    |

  3. If the volume of parallelepiped formed by the vectors hati+lamdahatj+h...

    Text Solution

    |

  4. If f(x) is a differentials function such that f'(1)=4 and f'(4)=1/2, t...

    Text Solution

    |

  5. The probability that the screws are defective in three boxes of screws...

    Text Solution

    |

  6. The general solution of differential equation (dy)/(dx)+(ylny)/x=(y(ln...

    Text Solution

    |

  7. inte^((logx+ax^(2)))cos(bx^(2)+c)dx is equal to

    Text Solution

    |

  8. The negation of the compound statement ~pvv(pvv(~q)) is

    Text Solution

    |

  9. The mean and variation of 7 observations are 8 and 16 respectivelh. If...

    Text Solution

    |

  10. Which one of the following is incorrect?

    Text Solution

    |

  11. In a triangle ABC if Delta=|(e^(i2A),e^(-iC),e^(iB)),(e^(-iC),e^(i2B...

    Text Solution

    |

  12. Let f(x) ={(2-x+a^(2)-9a-9,xlt2),(2x-3,xge2):} Where a is a positiv...

    Text Solution

    |

  13. If y=cos^(-1)[(cosx+4sinx)/(sqrt(17))] then (dy)/(dx)d is

    Text Solution

    |

  14. Let the line x=k divide the area enclosed by (1-x)^(2)=y,x=0,y=0 int...

    Text Solution

    |

  15. How many real solutions does the equation 2sin x=x^(2)-x pi+(pi^(2)+8)...

    Text Solution

    |

  16. If A and B are two independent events such that P(bar(A)nnB)=2/15 and ...

    Text Solution

    |

  17. The function defined by f(x) ={((x^(2)+e^(1/2-x))^(-1),x!=2),(k,x=2)...

    Text Solution

    |

  18. Let C(1):y^(2)=4[sqrt(y)]x,C(2):x^(2)=4[sqrt(x)]y represent two curves...

    Text Solution

    |

  19. If S(n)=sum(k=1)^(4n)(-1)^((k(k+1))/2)k^(2), then the values of S(8) i...

    Text Solution

    |

  20. Evaluate 8cos36^(@)cos72^(@)cos108^(@)cos144^(@)

    Text Solution

    |