MathematicsMedium53×since 2002Q3194Let O be the origin and A be the point z1=1+2i{z_1} = 1 + 2iz1=1+2i. If B is the point z2{z_2}z2, Re(z2)<0{\mathop{\rm Re}\nolimits} ({z_2}) < 0Re(z2)<0, such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true?Aargz2=π−tan−13\arg {z_2} = \pi - {\tan ^{ - 1}}3argz2=π−tan−13Barg(z1−2z2)=−tan−143\arg ({z_1} - 2{z_2}) = - {\tan ^{ - 1}}{4 \over 3}arg(z1−2z2)=−tan−134C∣z2∣=10|{z_2}| = \sqrt {10}∣z2∣=10D∣2z1−z2∣=5|2{z_1} - {z_2}| = 5∣2z1−z2∣=5Check answerSkip