COMPLEX NUMBER(IMAGINARY NUMBER)

The image of a complex number z in the imaginary axis is (A) z (B) iz (C) - z (D) -i z

If z is a unimodular number (!=+-i) then (z+i)/(z-i) is (A) purely real (B) purely imaginary (C) an imaginary number which is not purely imaginary (D) both purely real and purely imaginary

Let z be a complex number such that the imaginary part of z is nonzero and a = z2 + z + 1 is real. Then a cannot take the value (A) –1 (B) 1 3 (C) 1 2 (D) 3 4

Consider the following complex : [Cr(NH_(3))_(4)(NO_(2))_(2)]: inner orbital complex The oxidation number, number of d- electrons, number of unpaired d- electrons on the irreleation and number of isomers are respectively.

Which term of the A.P. (16-6i,)(15-4i), (14-2 i), ... is a : (a) pure real number ? (b) pure imaginary number ?

If a complex number z satisfies |z| = 1 and arg(z-1) = (2pi)/(3) , then ( omega is complex imaginary number)

Find the imaginary part of the complex number if z=( 2-i)(5+i)

Consider the complex number z = (1 - isin theta)//(1+ icos theta) . The value of theta for which z is purely imaginary are

z=x+iy is a complex number. If the imaginary part of z^(2) is 32. then Locus of z is a hyperbola of eccentricity-

The imaginary number "I" is such that i^(2)=-1 . Which of the following statements is true about the complex number equivalent to (4-i)xx(1+2i)+(1-i)xx(2-3i) ?