JEE Main 20246 Apr, Evening shiftMathematicsMediumComplex Numbers and Quadratic Equations264× since 2002If z1,z2z_1, z_2z1,z2 are two distinct complex number such that ∣z1−2z212−z1zˉ2∣=2\left|\frac{z_1-2 z_2}{\frac{1}{2}-z_1 \bar{z}_2}\right|=221−z1zˉ2z1−2z2=2, thenAOption A. either z1z_1z1 lies on a circle of radius 12\frac{1}{2}21 or z2z_2z2 lies on a circle of radius 1.BOption B. z1z_1z1 lies on a circle of radius 12\frac{1}{2}21 and z2z_2z2 lies on a circle of radius 1.COption C. either z1z_1z1 lies on a circle of radius 1 or z2z_2z2 lies on a circle of radius 12\frac{1}{2}21.DOption D. both z1z_1z1 and z2z_2z2 lie on the same circle.CheckSkip · show solution
