Home
Class 11
MATHS
If [frac{3}{2}+frac{sqrt3i}{2}]^50 = 3^2...

If `[frac{3}{2}+frac{sqrt3i}{2}]^50 = 3^25(x+iy)`, then `x^2+y^2= `

A

`A.-1`

B

`B.1`

C

`C.0`

D

`D.`none of these

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

If [frac{3}{2}+i frac{sqrt3}{2}]^50 = 3^25(x-iy) ,where x,y are real and i=sqrt(-1) , then the order pair (x,y) is given by

(-frac{1}{2}+frac{sqrt3}{2}i)^1000 =

[frac{sqrt3+i}{2}]^6+[frac{i-sqrt3}{2}]^6 is equal to

If z= frac{sqrt3+i}{2} , then z^69

If (-7-24i)^frac{1}{2} = x-iy , then x^2+y^2 =

If (frac{1+i}{1-i}^3) - (frac{1-i}{1+i}^3) = x+iy, then find (x,y)

If a= frac{-1+sqrt3 i}{2} , b= frac{-1-sqrt3 i}{2} , then show that a^2 =b and b^2 =a

If z=[frac{sqrt3}{2}+frac{i}{2}]^5+[frac{sqrt3}{2}-frac{i}{2}]^5 , then

If z = frac{sqrt 3 + i}{2} , then z^69 =

If frac{(1+i)^3}{(1-i)^3}-frac{(1-i)^3}{(1+i)^3} = x+iy , then