Chapter 10 Circles- MCQ Online Test 2 Class 9 Maths

1. If A and B are two points on a circle such that m(AB) = 260°. A possible value for the angle subtended by arc BA at a point on the circle is:
(a) 100°
(b) 75°
(c) 50°
(d) 25°

2. An equilateral triangle ABC is inscribed in a circle with centre O. The measures of ∠BOC is
(a) 30°
(b) 60°
(c) 90°
(d) 120°

3. In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is
(a) 2AB
(b) √2
(c) 1/2 AB
(d) 1/√2 AB

4. Two equal circles of radius r intersect such that each passes through the centre of the other. The length of the common chord of the circle is
(a) √r
(b) √2r AB
(c) √3r
(d) √3/2

5. If AB is a chord of a circle, P and Q are the two points on the circle different from A and B, then
(a) ∠APB = ∠AQB
(b) ∠APB + ∠AQB = 180° or ∠APB = ∠AQB
(c) ∠APB + ∠AQB = 90°
(d) ∠APB + ∠AQB = 180°

6. If two diameters of a circle intersect each other at right angles, then quadrilateral formed by joining their end points is a
(a) rhombus
(b) rectangle
(c) parallelogram
(d) square

7. The chord of a circle is equal to its radius. The angle subtended by this chord at the minor arc of the circle is
(a) 60°
(b)75°
(c) 120°
(d) 150°

8. If ABC is an arc of a circle and ∠ABC = 135°, then the ratio of arc ABC to the circumference is:
(a) 1:4
(b) 3:4
(c) 3:8
(d) 1:2

9. PQRS is a cyclic quadrilateral such that PR is a diameter of the circle. If ∠QPR = 67° and ∠SPR = 72°, then ∠QRS =
(a) 41°
(b) 23°
(c )67°
(d) 18°

10. If A , B, C are three points on a circle with centre O such that ∠AOB = 90° and ∠BOC = 120°, then ∠ABC =
(a) 60°
(b) 75°
(c) 90°
(d) 135°