Home
Class 11
MATHS
If z=x+iy is a complex number with x, ...

If `z=x+iy` is a complex number with `x, y in Q and |z| = 1`, then show that `|z^(2n)-1|` is a rational numberfor every `n in N`.

Promotional Banner

Similar Questions

Explore conceptually related problems

If z=x+iy is any complex number and |z-1|=|z+1| then show that |z|=y

if z = x + iy be a complex number then the additive inverse of z is

If z=x+iy is a complex number satisfying |z+(i)/(2)|^(2)=|z-(i)/(2)|^(2), then the locus of z is

If z is a complex number satisfying z+z^(-1)=1 then z^(n)+z^(-n),n in N, has the value

A complex number z with (Im)(z)=4 and a positive integer n be such that z/(z+n)=4i , then the value of n, is

If n is a natural number gt 2 , such that z^(n) = (z+1)^(n) , then

If complex number z=x +iy satisfies the equation Re (z+1) = |z-1| , then prove that z lies on y^(2) = 4x .

Find the locus of complex number z, stisfying ( z + 1)^(n) = z^(n)