Complex Number and Quadratic Equations
Let complex numbers αandα1 lies on circle (x−x0)2(y−y0)2=r2and(x−x0)2+(y−y0)2=4r2 respectively. If z0=x0+iy0 satisfies the equation 2∣z0∣2=r2+2 then ∣α∣ is equal to (a) 21 (b) 21 (c) 71 (d) 31
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