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In the given figure which of the following is a regular polygon? All have equal side except (i).

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(i)

(ii)

(iii)

(iv)

answer is B.

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Detailed Solution

We know that, in a regular polygon, all sides and angles are equal.
In figure (i),
Question Image

All sides are not equal.
∴ It is not a regular polygon.
In figure (ii),
Question Image

It is a square and in square all sides are equal and all angles are 90°.
∴ It is a regular polygon.
In figure (iii),
Question Image

It is a parallelogram and, in a parallelogram, the opposite sides are equal and opposite angles are equal.
∴ It is not a regular polygon.
In figure (iv),
Question Image

All sides are not equal
∴ It is not a regular polygon.
Therefore, figure (ii) is a regular polygon.
Hence, option 2 is correct.

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