Home
Class 12
MATHS
If A+B+C=pi and e^(itheta)=costheta+isin...

If `A+B+C=pi` and `e^(itheta)=costheta+isintheta` and `z=|[e^(2iA), e^(-iC), e^(-iB)] , [e^(-iC), e^(2iB), e^(-iA)], [e^(-iB), e^(-iA), e^(2iC)]|`, then

A

Re(z)=4

B

Im(z)=0

C

Re(z)=-4

D

Im(z)=1

Text Solution

Verified by Experts

The correct Answer is:
B, C
Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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 e^(i theta)=cos theta+i sin theta, find the value of |1e^(i pi/3)e^(i pi/4)e^(-i pi/3)1e^(i2 pi/3)e^(-i pi/4)e^(-i2 pi/3)1|

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