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(B) The condition $|z| \leq 4$ represents the set of all points inside or on the boundary of a circle centered at the origin with radius $4$.The condi

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$A$ radius of the circle

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(B) The condition $|z| \leq 4$ represents the set of all points inside or on the boundary of a circle centered at the origin with radius $4$.The condition $\operatorname{Arg}(z) = \frac{\pi}{3}$ represents a ray starting from the origin (excluding the origin itself) making an angle of $\frac{\pi}{3}$ with the positive real axis.The intersection of these two sets is the portion of the ray that lies within the circle,which is a line segment starting from the origin and extending to the boundary of the circle at a distance of $4$ units. This is a radius of the circle.

The set of points on the Argand plane which satisfy both $|z| \leq 4$ and $\operatorname{Arg}(z) = \frac{\pi}{3}$ represents:

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