JEE Main 201910 Jan, Morning shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002Let z₁ and z₂ be any two non-zero complex numbers such that 3∣z1∣=4∣z2∣.3\left| {{z_1}} \right| = 4\left| {{z_2}} \right|.3∣z1∣=4∣z2∣. If z=3z12z2+2z23z1z = {{3{z_1}} \over {2{z_2}}} + {{2{z_2}} \over {3{z_1}}}z=2z23z1+3z12z2 then :AOption A. Im(z)=0{\rm I}m\left( z \right) = 0Im(z)=0BOption B. ∣z∣=172\left| z \right| = \sqrt {{17 \over 2}}∣z∣=217COption C. ∣z∣=\left| z \right| =∣z∣= 129+16cos2θ{1 \over 2}\sqrt {9 + 16{{\cos }^2}\theta }219+16cos2θDOption D. Re(z) === 0CheckSkip · show solution
