Class 9 Quiz Level 3 (Difficult) – Circles

Total questions: 10

Two congurent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P,Q lie on the two circles. Which of the option a correct?

Topic: Intersecting Circles and Chords

Deselect Answer

∠QPB=∠PBQ

∠QPB=∠PQB

∠QPC=∠PQB

None of these

None

In the given figure, O is the centre of the circle and ΔABC is equilateral. Find ∠BDC and ∠BEC

Topic: Angles in an Equilateral Triangle and Circle

Deselect Answer

∠BDC = 140°, ∠BEC=140°

∠BDC = 160°, ∠BEC=130°

∠BDC = 120°, ∠BEC=120°

∠BDC = 60°, ∠BEC=120°

None

In the given figure, ABCD is a cyclic quadrilateral in which ∠CAD=25°,∠ABC= 50° and ∠ACB=35°. Then: (i) ∠CBD (ii) ∠DAB (iii) ∠ADB are respectively?

Topic: Angles in a Cyclic Quadrilateral

Deselect Answer

(i) ∠CBD=105° (ii) ∠DAB=100° (iii) ∠ADB=455°

(i) ∠CBD=65° (ii) ∠DAB=90° (iii) ∠ADB=85°

(i) ∠CBD=25° (ii) ∠DAB=70° (iii) ∠ADB=35°

(i) ∠CBD=38° (ii) ∠DAB=90° (iii) ∠ADB=85°

None

In the given figure, AB is a diameter of a circle with centre O. If ADE and CBE are straight lines, meeting a E such that ∠BAD=35° and ∠BED=25°, find (i) ∠DCB (ii) ∠DBC (iii) ∠BDC.

Topic: Angles in a Circle

Deselect Answer

36°, 16° and 60°

37°, 65° and 37°

25°, 55° and 30°

35°, 115° and 30°

None

In the adjoining figure, AB=AC=CD,∠ADC=35° Then (i) ∠ABC, (ii) ∠BEC are respectively:

Topic: Angles in an Isosceles Triangle and Circle/p>

Deselect Answer

70° and 70°.

80° and 60°.

10° and 50°.

70° and 40°.

None

If AB = 12 cm, BC = 16 cm and AB is perpendicular to BC, then the radius of the circle passing through the points A, B and C is :

Topic: Circle and Triangle Properties

Deselect Answer

50 cm

20 cm

10 cm

None of the above

None

In the given figure, I is the incentre of △ABC. AI produced meets the circumcircle of △ABC at D;∠ABC=55° and ∠ACB=65°.Find (i) ∠BCD (ii) ∠CBD (iii) ∠DCI (iv) ∠BIC.

Topic: Incenter and Circumcircle in a Triangle