CLASS IX CIRCLE GEOMETRY Test paper-1

9 In the figure 9.3, PQ and RQ are two chords equidistant from the centre. Prove that the diameter passing through Q bisects <PQR and <PSR.

10. In fig 9.4, AB and AC are two equal chords of a circle whose centre is O. If OD║AB and OE ║AC. prove that triangle ADE is an isosceles triangle.

## CBSE NCERT BOARD IX-MATHEMATICS -Term -II- 2

1. Define the following and mark them in a circle: (I) Centre of a circle (ii) Chord (iii) Secant (iv) Sector

(v) Major and minor segment

2. Complete the following statements.

(I) Equal chords of a circle subtend....

(ii) If the angles subtended by the chords of a circle at the centre are equal, then....

(iii) The perpendicular from the centre of the circle to a chord. .. .

(iv) The line drawn through the centre of a circle to bisect a chord is....

3. Find the length of a chord which is at a distance of 5cm from the centre of the circle whose radius is 10cm.

4. AB and CD are two parallel chords of a circle (lying on opposite sides of the centre) such that AB=10 cm, CD=24 cm. If the distance between AB and CD is 17cm, determine the radius of the circle.

5. PQ and RS are two parallel chords of a circle whose centre is

*O*and radius is 10 cm. If PQ=16 cm and RS=12 cm, Find the distance between PQ and RS, if they lie (i) on the same side of the centre O, and (ii) on opposite sides of the centre O.6. Given an arc of a circle, show how to complete the circle.

7. In the figure 9.1, if a diameter of a circle bisects each of the two chords of the circle, prove that the chords are parallel.

8. In the figure 9.2, if two chords of a circle are equally inclined to the diameter through their point of intersection, prove that the chords are equal.

9 In the figure 9.3, PQ and RQ are two chords equidistant from the centre. Prove that the diameter passing through Q bisects <PQR and <PSR.

10. In fig 9.4, AB and AC are two equal chords of a circle whose centre is O. If OD║AB and OE ║AC. prove that triangle ADE is an isosceles triangle.

## CBSE NCERT BOARD IX-MATHEMATICS -Term -II- 2

Test Papers,CBSE chapter-wise M C Q Multiple Choice Questions, Test Paper, Sample paper

**1. Linear equations in two variables**

2. Quadrilaterals

3. Area Of Parallelogram

4. Circles

5. Constructions

6. Surface Areas and Volumes

7. Statistics

8. Probability2. Quadrilaterals

3. Area Of Parallelogram

4. Circles

5. Constructions

6. Surface Areas and Volumes

7. Statistics

8. Probability

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