Classes

Class 10 Math Chords of a Circle Q.2. Differentiate between the following terms and illustrate them by diagrams.(iii) A chord and an arc of a circle.


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
Q.2. Differentiate between the following terms and illustrate them by diagrams.(iii) A chord and an arc of a circle.

3. If length of the chord \overline{A B}=8 \mathrm{~cm} . Its distance from the centre is 3 \mathrm{~cm} then find the diameter of such circle.
3. If length of the chord  \overline{A B}=8 \mathrm{~cm} . Its distance from the centre is  3 \mathrm{~cm}  then find the diameter of such circle.

3. If length of the chord \overline{A B}=8 \mathrm{~cm} . Its distance from the centre is 3 \mathrm{~cm} then find the diameter of such circle.

(xi) Locus of a point in a plane equidistant from a fixed point is called(a) radius(b) circle(c) circumference(d) diameter
(xi) Locus of a point in a plane equidistant from a fixed point is called(a) radius(b) circle(c) circumference(d) diameter

(xi) Locus of a point in a plane equidistant from a fixed point is called(a) radius(b) circle(c) circumference(d) diameter

Example: Prove that the largest chord in a circle is the diameter.
Example: Prove that the largest chord in a circle is the diameter.

Example: Prove that the largest chord in a circle is the diameter.

(v) Radii of a circle are(a) all equal(b) - double of the diameter(c) all unequal(d) half of any chord
(v) Radii of a circle are(a) all equal(b) - double of the diameter(c) all unequal(d) half of any chord

(v) Radii of a circle are(a) all equal(b) - double of the diameter(c) all unequal(d) half of any chord

2. Two chords of a circle do not pass through the centre. Prove that they cannot bisect each other.
2. Two chords of a circle do not pass through the centre. Prove that they cannot bisect each other.

2. Two chords of a circle do not pass through the centre. Prove that they cannot bisect each other.

(ii) In the circular figure A \widehat{C B} is called(a) an arc(b) a secant(c) a chord(d) a diameter
(ii) In the circular figure  A \widehat{C B}  is called(a) an arc(b) a secant(c) a chord(d) a diameter

(ii) In the circular figure A \widehat{C B} is called(a) an arc(b) a secant(c) a chord(d) a diameter

(xii) The symbol for a triangle is denoted by(a) \angle (b) \Delta (c) \perp (d) \bigcirc
(xii) The symbol for a triangle is denoted by(a)  \angle (b)  \Delta (c)  \perp (d)  \bigcirc

(xii) The symbol for a triangle is denoted by(a) \angle (b) \Delta (c) \perp (d) \bigcirc

(xiii) A complete circle is divided into(a) 90 degrees(b) 180 degrees(c) 270 degrees(d) 360 degrees
(xiii) A complete circle is divided into(a) 90 degrees(b) 180 degrees(c) 270 degrees(d) 360 degrees

(xiii) A complete circle is divided into(a) 90 degrees(b) 180 degrees(c) 270 degrees(d) 360 degrees

(vii) Right bisector of the chord of a circle always passes through the(a) radius(b) circumference(c) centre(d) diameter
(vii) Right bisector of the chord of a circle always passes through the(a) radius(b) circumference(c) centre(d) diameter

(vii) Right bisector of the chord of a circle always passes through the(a) radius(b) circumference(c) centre(d) diameter

(xiv) Through how many non collinear points can a circle pass?(a) one(b) two(c) three(d) none
(xiv) Through how many non collinear points can a circle pass?(a) one(b) two(c) three(d) none

(xiv) Through how many non collinear points can a circle pass?(a) one(b) two(c) three(d) none

Q.2. Differentiate between the following terms and illustrate them by diagrams.(ii) A chord and the diameter of a circle.
Q.2. Differentiate between the following terms and illustrate them by diagrams.(ii) A chord and the diameter of a circle.

Q.2. Differentiate between the following terms and illustrate them by diagrams.(ii) A chord and the diameter of a circle.

1. Two equal chords of a circle intersect show that the segments of the one are equal corresponding to the segments of the other.
1. Two equal chords of a circle intersect show that the segments of the one are equal corresponding to the segments of the other.

1. Two equal chords of a circle intersect show that the segments of the one are equal corresponding to the segments of the other.

(iv) In a circular figure two chords \overline{A B} and \overline{C D} are equidistant from the centre. They will be(a) parallel(b) non congruent(c) congruent(d) perpendicular
(iv) In a circular figure two chords  \overline{A B}  and  \overline{C D}  are equidistant from the centre. They will be(a) parallel(b) non congruent(c) congruent(d) perpendicular

(iv) In a circular figure two chords \overline{A B} and \overline{C D} are equidistant from the centre. They will be(a) parallel(b) non congruent(c) congruent(d) perpendicular

Exámple: Show that only one circle can be drawnto pass through the vertices of any rectangle.
Exámple: Show that only one circle can be drawnto pass through the vertices of any rectangle.

Exámple: Show that only one circle can be drawnto pass through the vertices of any rectangle.

Q.2. Differentiate between the following terms and illustrate them by diagrams.(iii) A chord and an arc of a circle.
Q.2. Differentiate between the following terms and illustrate them by diagrams.(iii) A chord and an arc of a circle.
now playing

Q.2. Differentiate between the following terms and illustrate them by diagrams.(iii) A chord and an arc of a circle.

(viii) The circular region bounded by two radii and the corresponding arc is called(a) circumference of a circle(b) sector of a circle(c) diameter of a circle(d) segment of a circle
(viii) The circular region bounded by two radii and the corresponding arc is called(a) circumference of a circle(b) sector of a circle(c) diameter of a circle(d) segment of a circle

(viii) The circular region bounded by two radii and the corresponding arc is called(a) circumference of a circle(b) sector of a circle(c) diameter of a circle(d) segment of a circle

Q.2. Differentiate between the following terms and illustrate them by diagrams.(i) A circle and a circumference.
Q.2. Differentiate between the following terms and illustrate them by diagrams.(i) A circle and a circumference.

Q.2. Differentiate between the following terms and illustrate them by diagrams.(i) A circle and a circumference.

4. Calculate the length of a chord which stands at a distance 5 \mathrm{~cm} from the centre of a circle whose radius is 9 \mathrm{~cm} .
4. Calculate the length of a chord which stands at a distance  5 \mathrm{~cm}  from the centre of a circle whose radius is  9 \mathrm{~cm} .

4. Calculate the length of a chord which stands at a distance 5 \mathrm{~cm} from the centre of a circle whose radius is 9 \mathrm{~cm} .

3. As shown in the figure find the distance between two parallel chords A B and C D .
3. As shown in the figure find the distance between two parallel chords  A B  and  C D .
video locked

3. As shown in the figure find the distance between two parallel chords A B and C D .

(x). Line segment joining any point of the circle to the centre is called(a) circumference(b) diameter(c) radial segment(d) perimeter
(x). Line segment joining any point of the circle to the centre is called(a) circumference(b) diameter(c) radial segment(d) perimeter
video locked

(x). Line segment joining any point of the circle to the centre is called(a) circumference(b) diameter(c) radial segment(d) perimeter

Q.2. Differentiate between the following terms and illustrate them by diagrams.(vi) A sector and a segment of a circle.
Q.2. Differentiate between the following terms and illustrate them by diagrams.(vi) A sector and a segment of a circle.
video locked

Q.2. Differentiate between the following terms and illustrate them by diagrams.(vi) A sector and a segment of a circle.

Example: Parallel lines passing through the points of intersection of two circles and intercepted by them are equal.
Example: Parallel lines passing through the points of intersection of two circles and intercepted by them are equal.
video locked

Example: Parallel lines passing through the points of intersection of two circles and intercepted by them are equal.

(iii) In the circular figure A O B is called(a) an arc(b) a secant(c) a chord(d) a diameter
(iii) In the circular figure  A O B  is called(a) an arc(b) a secant(c) a chord(d) a diameter
video locked

(iii) In the circular figure A O B is called(a) an arc(b) a secant(c) a chord(d) a diameter

(i) In the circular figure A D B is called(a) an arc(b) a secant(c) a chord.(d) a diameter
(i) In the circular figure  A D B  is called(a) an arc(b) a secant(c) a chord.(d) a diameter
video locked

(i) In the circular figure A D B is called(a) an arc(b) a secant(c) a chord.(d) a diameter

1 . Prove that the diameters of a circle bisect each other.
 1 .  Prove that the diameters of a circle bisect each other.
video locked

1 . Prove that the diameters of a circle bisect each other.

Q.2. Differentiate between the following terms and illustrate them by diagrams.(v) Interior and exterior of a circle.
Q.2. Differentiate between the following terms and illustrate them by diagrams.(v) Interior and exterior of a circle.
video locked

Q.2. Differentiate between the following terms and illustrate them by diagrams.(v) Interior and exterior of a circle.

2. A B is the chord of a circle and the diameter C D is perpendicular bisector of A B . Prove that m \overline{A C}=m \overline{B C} .
2.  A B  is the chord of a circle and the diameter  C D  is perpendicular bisector of  A B . Prove that  m \overline{A C}=m \overline{B C} .
video locked

2. A B is the chord of a circle and the diameter C D is perpendicular bisector of A B . Prove that m \overline{A C}=m \overline{B C} .

(ix) The distance of any point of the circle to its centre is called(a) radius(b) diameter(c) a chord(d) an arc
(ix) The distance of any point of the circle to its centre is called(a) radius(b) diameter(c) a chord(d) an arc
video locked

(ix) The distance of any point of the circle to its centre is called(a) radius(b) diameter(c) a chord(d) an arc

(vi) A chord passing through the centre of a circle is called(a) radius(b) diameter(c) circumference(d) secant
(vi) A chord passing through the centre of a circle is called(a) radius(b) diameter(c) circumference(d) secant
video locked

(vi) A chord passing through the centre of a circle is called(a) radius(b) diameter(c) circumference(d) secant

MDCAT/ ECAT question bank