The complex numbers z = x + iy which satisfy the equation = 1 lie on
The inequality  z − 4  <  z −2  represents the region given by
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If (√3 + i)^{10} = a + ib: a, b ∈ R, then a and b are respectively :
Let x,y ∈ R, hen x + iy is a non real complex number if
Let x,y ∈ R, then x + iy is a purely imaginary number if
Multiplicative inverse of the non zero complex number x + iy (x,y ∈ R,)
The locus of z which satisfied the inequality log_{0.3}z –1 > log_{0.3}z – i is given by
The inequality  z − 6  <  z − 2  represents the region given by
Distance of the representative of the number 1 + I from the origin (in Argand’s diagram) is
If ω is a cube root of unity , then (1+ω)(1+ω^{2})(1+ω^{4})(1+ω^{8})...... upto 2n factors is
If points corresponding to the complex numbers z_{1}, z_{2}, z_{3} and z_{4} are the vertices of a rhombus, taken in order, then for a nonzero real number k
If k , l, m , n are four consecutive integers, then is equal to :
i^{2}+i^{4}+i^{6}+........... up to 2k + 1 terms, for all k belongs to natural numbers N.
If i^{2}=−1, then sum i+i^{2}+i^{3}+....... to 1000 terms is equal to
If z_{1} = 4, z_{2} = 4, then z_{1} + z_{2} + 3 + 4i is less than
If If ω is a non real cube root of unity and (1+ω)^{9 }= a+bω;a,b ∈ R, then a and b are respectively the numbers :
In z = a + bι, if i is replaced by −ι, then another complex number obtained is said to b
If (x + iy) (3  4i) = (5 + 12i), then
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209 videos443 docs143 tests
