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, ∠C = ∠D = 40°, then the four points A, B, C, D

 
 
 
 

2. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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. 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.

 
 
 
 

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

 
 
 
 

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

 
 

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

 
 

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

 
 
 
 

11. 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

 
 
 
 

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

 
 
 
 

13. In the given figure, value of y is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

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

 
 

18. 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

 
 
 
 

19. 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

 
 
 
 

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

 
 
 
 

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

 
 
 
 

22. 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

 
 
 
 

23. 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

 
 
 
 

24. 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

 
 
 
 

25. In the given figure, point P lies

 
 
 
 

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, value of x is

 
 
 
 

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

 
 
 
 

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

 
 
 
 

30. 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

 
 
 
 

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