Welcome to the Circles Chapter Mock Test, designed especially for Class 9 students following the NCERT Mathematics curriculum. This online test will help you revisit, practice, and strengthen all the important concepts from the chapter “Circles.”

1. In the given figure, value of y is

 
 
 
 

2. In the given figure, ∠C = ∠D = 40°, then the four points A, B, C, D

 
 
 
 

3. In a circle with centre O, chords AB and CD are of lengths 5 cm and 6 cm respectively and subtend angles x° and y° at the centre of the circle respectively.

Then

 
 
 
 

4. Given a chord AB of length 5 cm, of a circle with centre O. OL is perpendicular to chord AB and OL = 4 cm. OM is perpendicular to chord CD such that OM = 4 cm. Then CM is equal to

 
 
 
 

5. In a circle with centre O, chords AB and CD are of lengths 5 cm each and subtend angles x° and y° at the centre of the circle respectively. Then

 
 
 
 

6. In the given figure, value of x is

 
 
 
 

7. In a quadrilateral ABCD, bisectors of angles A, B, C and D form another quadrilateral EFGH as shown

If ∠HEF = 70° and ∠GHE = 80°, then ∠HGF and ∠GFE are

 
 
 
 

8. In the given figure, O is the centre of the circle. The value of x is

 
 
 
 

9. In the given figure, point P lies

 
 
 
 

10. In the given figure, ∠POQ = 150° and AB, CD are equal chords, OP ⊥ AB and OQ ⊥ CD. Then ∠BPQ is

 
 
 
 

11. In the given figure, the value of ∠OPR is

 
 
 
 

12. In figure, ∠AOB = 90° and ∠ABC = 30°, then ∠CAO is equal to

 
 
 
 

13. Given a circle with centre O and chords AB, PQ and XY. Points P, Q and O are collinear and radius of a circle is 6 cm. Then mark the correct option.

 
 
 
 

14. In how many parts a plane can divide a circle if it intersect perpendicularly?

 
 
 
 

15. In figure, O is the centre of the circle. The value of x is

 
 
 
 

16. The region between an arc and the two radii, joining the centre to the end points of the arc is called a/an

 
 
 
 

17. Given two concentric circles with centre O. A line cuts the circles at A, B, C, D respectively. If AB = 10 cm, then length CD is

 
 
 
 

18. Given a circle of radius r and with centre O. A point P lies in a plane such that OP > r, then point P lies

 
 
 
 

19. A chord of a circle is equal to the radius of the circle. Then the angle subtended by the chord at the point of major arc is

 
 
 
 

20. A circle of radius 3 cm can be drawn through two points A, B such that AB = 6.2 cm

 
 

21. In the given figure, O is centre of the circle, ∠BAO = 68°, AC is diameter of the circle, then measure of ∠BCO is

 
 
 
 

22. Through three collinear points, a circle can be drawn.

 
 

23. Given a circle of radius 5 cm and centre O. OM is drawn perpendicular to the chord XY. If OM = 3 cm, then length of chord XY is

 
 
 
 

24. In the given figure, O is the centre of the circle,  ∠CBE = 25° and ∠DEA = 60°. The measure of ∠ADB is

 
 
 
 

25. The region between a chord and either of the arcs is called

 
 
 
 

26. Given a circle with centre O and smallest chord AB is of length 3 cm, longest chord CD is of length 10 cm and chord PQ is of length 7 cm, then radius of the circle is

 
 
 
 

27. In the given figure, ∠DBC = 55°, ∠BAC = 45° then ∠BCD is

 
 
 
 

28. Given a circle of radius r and with centre O. A point P lies in a plane such that OP < r. Then point P lies

 
 
 
 

29. Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB = CD

 
 

30. Diagonals of a cyclic quadrilateral are the diameters of that circle, then quadrilateral is a

 
 
 
 

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