Complete guide to "Circles" for Math students. Below you will find important questions and model answers to help you prepare.
We are building a dedicated quiz for this topic, but you can test your skills on a similar concept: Number Systems - Practice Set 1 (NCERT Class 9).
In following figure, two congruent circles have centres O and O′. Arc AXB subtends an angle of 75° at the centre O and arc A′ Y B′ subtends an angle of 25° at the centre O′. Then the ratio of arcs A X B and A′ Y B′ is
2:1
1:2
3:1
1:3
In following figure, AB and CD are two equal chords of a circle with centre O. OP and OQ are perpendiculars on chords AB and CD, respectively. If ∠POQ = 150°, then ∠APQ is equal to
30°
75°
15°
60°
AD is a diameter of a circle and AB is a chord. If AD = 34 cm, AB = 30 cm, the distance of AB from the centre of the circle is
17 cm
15 cm
4 cm
8 cm
In following figure, if OA = 5 cm, AB = 8 cm and OD is perpendicular to AB, then CD is equal to:
2 cm
3 cm
4 cm
5 cm
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:
6 cm
8 cm
10 cm
12 cm
In following figure, if ∠ABC = 20º, then ∠AOC is equal to:
20°
40°
60°
10°
In following figure, if AOB is a diameter of the circle and AC = BC, then ∠CAB is equal to:
30°
60°
90°
45°
In following figure, if ∠OAB = 40º, then ∠ACB is equal to:
50°
40°
60°
70°
In following figure, if ∠DAB = 60º, ∠ABD = 50º, then ∠ACB is equal to:
60°
50°
70°
80°
ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it and ∠ADC = 140º, then ∠BAC is equal to:
80°
50°
40°
30°
In following figure, BC is a diameter of the circle and ∠BAO = 60º. Then ∠ADC is equal to:
30°
45°
60°
120°
In following figure, ∠AOB = 90º and ∠ABC = 30º, then ∠CAO is equal to:
30°
45°
90°
60°