91Ó°ÊÓ

The point $\left(2,\frac{\mathrm{π}}{3}\right)$where $r≠2$but $\mathrm{θ}=\frac{\mathrm{π}}{3}$.

Consider the polar $(r,\mathrm{θ})=\left(2,\frac{\mathrm{π}}{3}\right)$coordinate.

Every point in polar coordinates will have infinitely many representations in polar plane.

The point $\left(2,\frac{\mathrm{Ï€}}{3}\right)$can be written as ,

Thus, $\left(2,\frac{7\mathrm{π}}{3}\right)$is the required point where $r=2$but $\mathrm{θ}≠\frac{\mathrm{π}}{3}$.

Therefore, the answer is $\left(2,\frac{7\mathrm{Ï€}}{3}\right)$.

The point $\left(2,\frac{\mathrm{π}}{3}\right)$where $r≠2$but $\mathrm{θ}=\frac{\mathrm{π}}{3}$.

Consider the polar $(r,\mathrm{θ})=\left(2,\frac{\mathrm{π}}{3}\right)$coordinate.

Every point in polar coordinates will have infinitely many representations in polar plane.

The point $\left(2,\frac{\mathrm{Ï€}}{3}\right)$can be written as $\left(-2,\frac{\mathrm{Ï€}}{3}\right)$,

Thus, $\left(-2,\frac{\mathrm{π}}{3}\right)$is the required point where $r≠2$but $\mathrm{θ}=\frac{\mathrm{π}}{3}$.

Therefore, the answer is $\left.\left(-2,\frac{\mathrm{Ï€}}{3}\right)\right)$.

The point $\left(2,\frac{\mathrm{π}}{3}\right)$where $r≠2$but $\mathrm{θ}≠\frac{\mathrm{π}}{3}$.

Consider the polar$(r,\mathrm{θ})=\left(2,\frac{\mathrm{π}}{3}\right)$coordinate.

Every point in polar coordinates will have infinitely many representations in the polar plane.

The point $\left(2,\frac{\mathrm{Ï€}}{3}\right)$can be written as,

$$\begin{gathered} \left(-2,\frac{\mathrm{Ï€}}{3}+2\mathrm{Ï€}\right) \\ \left(-2,\frac{7\mathrm{Ï€}}{3}\right) \end{gathered}$$

Thus, $\left(-2,\frac{7\mathrm{π}}{3}\right)$is the required point where $r≠2$but $\mathrm{θ}≠\frac{\mathrm{π}}{3}$.

Therefore, the answer is $\left(-2,\frac{7\mathrm{Ï€}}{3}\right)$.