Cyclic Quadrilaterals

1. There will be total (no. of Qs.) 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. In the given figure, ∠M is 75° then ∠O is equal to.

110°

100°

105°

85°

Question 1 of 20

2. A, B, C and D are four points on a circle. AC and BD intersect at E such that angle BEC =140° and angle ECD = 25°, then angle BAC is

90°

115°

100°

130°

Question 2 of 20

3.

140°

90°

130°

40°

Question 3 of 20

4. ABCD is a cyclic quadrilateral in which AC and BD are its diagonals. If angle DBC = 45° and angle BAC = 30°, the measure of angle BCD is

120°

100°

105°

90°

Question 4 of 20

5. In the figure, triangle ABC is an isosceles triangle with AB = AC and measure of angle ABC = 50°. Then the measure of angle BDC and angle BEC will be

60°, 100°

80°, 100°

50°, 100°

40°, 120°

Question 5 of 20

6. In the figure, quadrilateral PQRS is cyclic. If ∠P = 80°, then ∠R =

80°

100°

120°

40°

Question 6 of 20

7.

70°

140°

220°

110°

Question 7 of 20

8. If AB = 12 cm, BC = 16 cm and AB ⊥ BC, then radius of the circle passing through A,B and C is

10 cm

12 cm

8 cm

6 cm

Question 8 of 20

9.

20°, 30°

25°, 30°

36°, 60°

15°, 30°

Question 9 of 20

10. In the figure, ABC is an equilateral triangle. Measure of angle BEC is

105°

60°

120°

90°

Question 10 of 20

11. In the figure, ∠M = 82°, then O =?

52°

98°

35°

45°

Question 11 of 20

12. In the figure, ABCD is a cyclic quadrilateral. AF is drawn parallel to CB and DA is produced to point E. If angle ADC = 92°, angle FAE = 20°; then angle BCD will be

100°

90°

108°

105°

Question 12 of 20

13.

95°

85°

60°

100°

Question 13 of 20

14. If ∠C = ∠D = 50° then four points A, B, C, D:

Are collinear

Are con-cyclic

A,B,D and A,B,C lie on different circles

Do not lie on same circle

Question 14 of 20

15. In the figure, angle BAD = 75°, angle DCF = x and angle DEF = y.The values of x and y are

x = 25°, y = 100°

x = 80°, y = 105°

x = 75°, y = 105°

x = 45°, y = 90°

Question 15 of 20

16. If the sum of a pair of opposite angles of a quadrilateral is 180o, the quadrilateral is:

square

Rhombus

Parallelogram

Cyclic

Question 16 of 20

17.

160°

100°

200°

180°

Question 17 of 20

18. In the figure, O is the centre of the circle. The measure of angle CBD is

90°

60°

50°

45°

Question 18 of 20

19. ABCD is a cyclic quadrilateral in a circle with centre O. If angle ADC = 130°; then angle BAC is

50°

40°

90°

45°

Question 19 of 20

20. ABC is an isosceles triangle in which AB = AC. If D and E are the mid points of AB and AC respectively, then the points D, B, C and E are

In the interior of the circle

In the exterior of the circle

Concyclic

Collinear

Question 20 of 20

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