# Class 10 Math Chords of a Circle (v) Radii of a circle are(a) all equal(b) - double of the diameter(c) all unequal(d) half of any chord

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

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

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

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

(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

(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

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.

(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.

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

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} .

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

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.

(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

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.

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

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