Classes

Class 10 Math Chords and Arcs (vi) If an arc of a circle subtends a central angle of 60^{\circ} then the corresponding chord of the arc will make the central angle of:(a) 20^{\circ} (b) 40^{\circ} (c) 60^{\circ} (d) 80^{\cir


Change the way you learn with Maqsad's classes. Local examples, engaging animations, and instant video solutions keep you on your toes and make learning fun like never before!

Class 9Class 10First YearSecond Year
(vi) If an arc of a circle subtends a central angle of 60^{\circ} then the corresponding chord of the arc will make the central angle of:(a) 20^{\circ} (b) 40^{\circ} (c) 60^{\circ} (d) 80^{\circ}

Example 1: The internal bisector of a central angle in a circle bisects an arc on which it stands.
Example 1: The internal bisector of a central angle in a circle bisects an arc on which it stands.

Example 1: The internal bisector of a central angle in a circle bisects an arc on which it stands.

(v) A pair of chords of a circle subtending two congruent central angles is:(a) congruent(b) incongruent(c) over lapping(d) parallel
(v) A pair of chords of a circle subtending two congruent central angles is:(a) congruent(b) incongruent(c) over lapping(d) parallel

(v) A pair of chords of a circle subtending two congruent central angles is:(a) congruent(b) incongruent(c) over lapping(d) parallel

2 . In a circle prove that the arcs between two parallel and equal chords are equal.
 2 .  In a circle prove that the arcs between two parallel and equal chords are equal.

2 . In a circle prove that the arcs between two parallel and equal chords are equal.

(iii) Out of two congruent arcs of a circle if one arc makes a central angle of 30^{\circ} then the other arc will subtend the central angle of:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}
(iii) Out of two congruent arcs of a circle if one arc makes a central angle of  30^{\circ}  then the other arc will subtend the central angle of:(a)  15^{\circ} (b)  30^{\circ} (c)  45^{\circ} (d)  60^{\circ}

(iii) Out of two congruent arcs of a circle if one arc makes a central angle of 30^{\circ} then the other arc will subtend the central angle of:(a) 15^{\circ} (b) 30^{\circ} (c) 45^{\circ} (d) 60^{\circ}

(vii) The semi circumference and the diameter of a circle both subtend a central angle of:(a) 90^{\circ} (b) 180^{\circ} (c) 270^{\circ} (d) 360^{\circ}
(vii) The semi circumference and the diameter of a circle both subtend a central angle of:(a)  90^{\circ} (b)  180^{\circ} (c)  270^{\circ} (d)  360^{\circ}

(vii) The semi circumference and the diameter of a circle both subtend a central angle of:(a) 90^{\circ} (b) 180^{\circ} (c) 270^{\circ} (d) 360^{\circ}

(x) The arcs opposite to incongruent central angles of a circle arc always:(a) congruent(b) incongruent(c) parallel(d) perpendicular
(x) The arcs opposite to incongruent central angles of a circle arc always:(a) congruent(b) incongruent(c) parallel(d) perpendicular

(x) The arcs opposite to incongruent central angles of a circle arc always:(a) congruent(b) incongruent(c) parallel(d) perpendicular

(viii) The chord length of a circle subtending a central angle of 180^{\circ} is always:(a) less than radial segment(b) equal to the radial segment(c) double of the radial segment(d) none of these
(viii) The chord length of a circle subtending a central angle of  180^{\circ}  is always:(a) less than radial segment(b) equal to the radial segment(c) double of the radial segment(d) none of these

(viii) The chord length of a circle subtending a central angle of 180^{\circ} is always:(a) less than radial segment(b) equal to the radial segment(c) double of the radial segment(d) none of these

Example 1: A point P on the circumference is equidistant from the radii \overline{O A} and O B . Prove that m \overparen{A P}=m \overparen{B P}
Example 1: A point  P  on the circumference is equidistant from the radii  \overline{O A}  and  O B . Prove that  m \overparen{A P}=m \overparen{B P}

Example 1: A point P on the circumference is equidistant from the radii \overline{O A} and O B . Prove that m \overparen{A P}=m \overparen{B P}

(i) A 4 \mathrm{~cm} long chord subtands a central angle of 60^{\circ} . The radial segment of this circle is:(a) 1(b) 2(c) 3(d) 4
(i) A  4 \mathrm{~cm}  long chord subtands a central angle of  60^{\circ} . The radial segment of this circle is:(a) 1(b) 2(c) 3(d) 4

(i) A 4 \mathrm{~cm} long chord subtands a central angle of 60^{\circ} . The radial segment of this circle is:(a) 1(b) 2(c) 3(d) 4

4. If C is the mid point of an arc A C B in a circle with centre O . Show that line segment O C bisects the chord A B .
4. If  C  is the mid point of an arc  A C B  in a circle with centre  O . Show that line segment  O C  bisects the chord  A B .

4. If C is the mid point of an arc A C B in a circle with centre O . Show that line segment O C bisects the chord A B .

1. In a circle two equal diameters \overrightarrow{A B} and \overrightarrow{C D} intersect each other. Prove that m \overline{A D}=m \overline{B C} .
1. In a circle two equal diameters  \overrightarrow{A B}  and  \overrightarrow{C D}  intersect each other. Prove that  m \overline{A D}=m \overline{B C} .

1. In a circle two equal diameters \overrightarrow{A B} and \overrightarrow{C D} intersect each other. Prove that m \overline{A D}=m \overline{B C} .

(ii) The length of a chord and the radial segment of a circle are congruent the central angle made by the chord will be:(a) 30^{\circ} (b) 45^{\circ} (c) 60^{\circ} (d) 75^{\circ}
(ii) The length of a chord and the radial segment of a circle are congruent the central angle made by the chord will be:(a)  30^{\circ} (b)  45^{\circ} (c)  60^{\circ} (d)  75^{\circ}

(ii) The length of a chord and the radial segment of a circle are congruent the central angle made by the chord will be:(a) 30^{\circ} (b) 45^{\circ} (c) 60^{\circ} (d) 75^{\circ}

(vi) If an arc of a circle subtends a central angle of 60^{\circ} then the corresponding chord of the arc will make the central angle of:(a) 20^{\circ} (b) 40^{\circ} (c) 60^{\circ} (d) 80^{\circ}
(vi) If an arc of a circle subtends a central angle of  60^{\circ}  then the corresponding chord of the arc will make the central angle of:(a)  20^{\circ} (b)  40^{\circ} (c)  60^{\circ} (d)  80^{\circ}
now playing

(vi) If an arc of a circle subtends a central angle of 60^{\circ} then the corresponding chord of the arc will make the central angle of:(a) 20^{\circ} (b) 40^{\circ} (c) 60^{\circ} (d) 80^{\circ}

3 . Give a geometric proof that a pair of bisecting chords are the diameters of a circle.
 3 .  Give a geometric proof that a pair of bisecting chords are the diameters of a circle.

3 . Give a geometric proof that a pair of bisecting chords are the diameters of a circle.

Example 2: In a circle if any pair of diameters are I each other then the lines joining its ends in order. square.
Example 2: In a circle if any pair of diameters are I each other then the lines joining its ends in order. square.

Example 2: In a circle if any pair of diameters are I each other then the lines joining its ends in order. square.

(ix) If a chord of a circle subtends a central angle of 60^{\circ} then the length of the chord and the radial segment are:(a) congruent(b) incongruent(c) parallel(d) perpendicular
(ix) If a chord of a circle subtends a central angle of  60^{\circ}  then the length of the chord and the radial segment are:(a) congruent(b) incongruent(c) parallel(d) perpendicular

(ix) If a chord of a circle subtends a central angle of 60^{\circ} then the length of the chord and the radial segment are:(a) congruent(b) incongruent(c) parallel(d) perpendicular

MDCAT/ ECAT question bank