Multiple choice

Fill in the blanks: (i) An arc is the part of the ......., (ii) Diameter of a circle bisects ......, (iii) The part of the circumference greater than the semi-circle is called........ (iv) Sector of a circle is its region bounded by ........., (v) The segment of a circle is the region bounded by ........, (vi) A tangent of a circle meets the circle at ......., (vii) The number of tangents that can be drawn through a point on its circumference ........, (viii) The number of tangents that can be drawn through a point outside the circle is ......

  1. (i) circumference. (ii) the circle. (iii) major arc. (iv) two radii and the corresponding arc. (v) a chord and the corresponding arc. (vi) one and only one point. (vii) is one and only one. (viii) two.

  2. (i) circumference.(ii) the circle.(iii)  major segment.(iv) two radii and the corresponding arc.(v) a chord and the corresponding arc. (vi) one and only one point.(vii) is two and only two.(viii) one. 

  3.  (i) circumference. (ii) the diameter. (iii) major arc.(iv) two radii and the corresponding semicircle.(v) a diameter and the corresponding arc.(vi) two and only two point.(vii) is two and only two.(viii)\quad two. 

  4.  (i) circumference. (ii) the circle.(iii) major arc.(iv) two radii and the corresponding chord.(v) a chord and the corresponding diameter.(vi) two and only two point.(vii) is two and only  two.(viii) two. 
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A Correct answer
Explanation

The definitions provided in option A are geometrically accurate: an arc is part of a circumference, diameter bisects a circle, sector is bounded by two radii and an arc, and tangents from an external point are two.

AI explanation

An arc is defined as a continuous part of the circumference, and any diameter bisects the entire circle into two equal halves. A part of the circumference larger than a semicircle is called a major arc. A sector is bounded by two radii and the corresponding arc, whereas a segment is bounded by a chord and the corresponding arc. A tangent meets the circle at exactly one point, meaning only one tangent can be drawn from a point on the circumference, but two tangents can be drawn from an outside point.

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