Mathematics

Statement I: A circle is a closed curve such that its every point is at a fixed distance from the centre.

Statement II: When two protractors are placed along their straight edges, the resulting figure is a circle.

  1. Statement I is true but Statement II is false.

  2. Statement I is false but Statement II is true.

  3. Both Statement I and Statement II are true.

  4. Both Statement I and Statement II are false.

Constructions

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Answer

Statement I: A circle is a closed curve such that every point on it is at a fixed distance (radius) from a fixed point (centre). So, Statement I is true.

Statement II: A protractor is a semicircle. When two protractors are placed along their straight edges, the two semicircles together form a complete circle. So, Statement II is true.

Hence, option 3 is the correct option.

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