Properties of Equal Chords

1. There will be total 10 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. XY and PQ are two parallel chords of a circle on opposite side of the centre O and radius of circle is 13 cm. if PQ = 10 cm and XY = 24 cm, find the distance between PQ and XY.

17 cm

14 cm

25 cm

21 cm

Question 1 of 10

2. In the given figure, the measure of angle BCD is

100°

75°

60°

50°

Question 2 of 10

3. In the following figure, ∠FEG = 37.5°, find the OFG.

60°

75°

45°

52.5°

Question 3 of 10

4. Chords of a circle, equidistant from the centre are

Equal

Parallel

Not equal

Perpendicular

Question 4 of 10

5. In the figure, O is the centre of the circle and the measure of arc ABC is 100o. The measure of angle ABC will be

110°

130°

80°

200°

Question 5 of 10

6. A, B and C are three points on a circle such that the angles subtended by the chords AB and AC at the centre O are 90° and 110° respectively. Then the measure of angle BAC is

40°

80°

75°

50°

Question 6 of 10

7. The angle which, an arc of a circle subtends at the centre is ….. the angle which it subtends at any point on the remaining part of the circumference.

Double

Half

Equal

One- third

Question 7 of 10

8. In the figure, angle ABC = 65° and angle ACB = 58°, the measure of angle BDC is

45°

68°

90°

57°

Question 8 of 10

9. Two equal chords AB and CD of a circle are such that the length of perpendicular OE on CD = 5 cm. If OF is the perpendicular on AB, then OF =

5 cm

2.5 cm

10 cm

15 cm

Question 9 of 10

10. In the given figure, angle OAC is 35°, angle ADC is

45°

60°

55°

50°

Question 10 of 10

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