Two chords AB and CD of a circle with centre O. Intersect each o

Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.
Advertisement

 Multiple Choice QuestionsMultiple Choice Questions

11.

Two chords AB and CD of a circle with centre O intersect at P. If ∠APC = 40°. Then the value of ∠AOC + ∠BOD is

  • 50°

  • 60°

  • 80°

  • 80°

4300 Views

12.

The radii of two concentric circles are 17cm and 25 cm. A straight line PQRS intersects the larger circle at the points P and S and intersects the smaller circle at the points Q and R. If QR = 16cm, then the length (in cm.) of PS is

  • 41

  • 32

  • 33

  • 33

765 Views

13.

A is the centre of a circle whose radius is 8 and B is the centre of a circle whose diameter is 8. If these two two circles touch externally, then the area of the circle with diameter AB is

  • 36 straight pi
  • 64 straight pi
  • 144 straight pi
  • 144 straight pi
333 Views

14.

Two chords of lengths a metre and b metre subtend angles 60° and 90° at the centre of the circle respectively, which of the following is true?

  • a = √2 b

  • b = √2 a

  • a = 2b

  • b = 2a

659 Views

Advertisement
Advertisement

15.

Two chords AB and CD of a circle with centre O. Intersect each other at P. If ∠AOD = 100° and ∠BOC = 70°, then the value of ∠APC is

  • 80°

  • 75°

  • 85°

  • 85°


D.

85°



angle AOD space equals space 100 degree
therefore space space space space angle ACD space equals space angle ACP space equals space 100 over 2 space equals space 50 degree
(The angle subtended at the centre is twice to that of angle at the circumference by the same arc)
Again,   angle BOC space equals space 70 degree
therefore space space angle BAC space equals space 70 over 2 space equals space 35 degree space equals space angle PAC
therefore space space space angle APC space equals space 180 degree space minus space 50 degree space minus space 35 degree space equals space 95 degree
         
1444 Views

Advertisement
16.

If two concentric circles are of radii 5cm and 3cm, then the length of the chord of the larger circle which touches the smaller circle is

  • 6 cm

  • 7 cm

  • 10 cm

  • 10 cm

236 Views

17.

Let C be a point on a straight line AB. Circles are drawn with diameters AC and AB. Let P be any point on the circumference of the circle with diameter AB. If AP meets the other circle at Q, then

  • QC || PB

  • QC is never parallel to PB

  • QC space equals space 1 half PB
  • QC space equals space 1 half PB
432 Views

18.

IF I is the incentre of ΔABC and angle BIC space equals space 135 degree, then ΔABC is 

  • acute angled

  • equilateral

  • right angled

  • right angled

196 Views

Advertisement
19.

If the length of a chord of a circle at a distance of 12cm from the centre is 10 cm, then the diameter of the circle is

  • 13 cm

  • 15 cm

  • 26 cm

  • 26 cm

171 Views

20.

If O is the circumcentre of ΔABC and angle OBC space equals space 35 degree, then the angle BAC is equal to

  • 55°

  • 110°

  • 70°

  • 70°

295 Views

Advertisement