CIRCLE (CDS)

Total Questions: 46

11. In the figure given below, AB is the diameter of the circle whose centre is at O. Given that ∠ECD = ∠EDC = 32º, then ∠CEF and ∠COF respectively are

Correct Answer: (b) 64º , 64º
Solution:

12. A region of area A bounded by a circle C is divided into n regions, each of area A/n, by drawing

Correct Answer: (b) p decreases as m increases
Solution:


13. The radii of two circles are 4.5 cm and 3.5 cm respectively. The distance between the centres of the circles is 10 cm. What is the length of the transverse common tangent?

Correct Answer: (c) 6 cm
Solution:

14. The locus of the mid-points of the radii of length 16 cm of a circle is

Correct Answer: (a) A concentric circle of radius 8 cm
Solution:The locus of mid-points of the radii of a circle would also be a circle with same centre, but half the radius.
∴ It is a concentric circle of radius 8 cm.

15. In the figure given below, XA and XB are two tangents to a circle. If ∠AXB = 50° and AC is parallel to XB, then what is ∠ACB equal to ?

Correct Answer: (b) 65°
Solution:

16. In the figure given below, SPT is a tangent to the circle at P and O is the centre of the circle. If ∠QPT = α , then what is ∠POQ equal to?

Correct Answer: (b) 2α
Solution:

17. In the figure given below, two equal chords cut at point P. If AB = CD = 10cm, OC = 13cm (O is the centre of the circle) and PB = 3 cm, then what is the length of OP ?

Correct Answer: (d) 2 √37 cm
Solution:

18. AB and CD are parallel chords of a circle 3 cm apart. If AB = 4 cm, CD = 10 cm, then what is the radius of the circle?

Correct Answer: (c) √29 cm
Solution:We have, AB and CD are parallel chord of circle 3 cm a part


19. The distance between the centres of two circles having radii 9 cm and 4 cm is 13 cm. What is the length of the direct common tangent of these circles?

Correct Answer: (a) 12 cm
Solution:We have,


20. Two parallel chords of a circle whose diameter is 13 cm are respectively 5 cm and 12 cm in length. If both the chords are on the same side of the diameter, then the distance between these chords is

Correct Answer: (c) 3.5 cm
Solution: