Page 66 - Mathematics Class - IX

Viva-Voce

1. Name the two segments formed by the chord of a circle.
Ans. Minor and major segment.
2. How many triangles can be made in a semi-circle? What is their kind?

Ans. Infinite triangles can be made. Each triangle will be of right-angled triangle.
3. If the angle in the same segment of any two circles of equal radius are equal, what is the relation between
the chords of these circles.
Ans. The chords are equal.

4. If the angle subtended by an arc at the centre in major segment is a reflex angle, then what is the angle in
the minor segment?
Ans. Obtuse angle.

5. Name the longest chord in a circle. How many such chords can be drawn?
Ans. Diameter. Infinitely such chords can be drawn.

MCQs

1. If ∠BDC = 30°, find ∠BAC.
D
a) 30°
b) 60° 30° A

c) 15°
d) None of these

B C
2. In a circle, PQ is a diameter. A, B are any points on the circle. The value of ∠PAQ and ∠PBQ is

a) 45°, 90° b) 50°, 50° c) 90°, 90° d) 60°, 60°
3. The congruent arcs of a circle subtend ________ angles at the centre
a) equal b) half of c) double the d) None of these

4. Any line joining two points on the circumference of a circle is
a) secant b) tangent c) chord d) arc
5. In the figure, ∠DAB = 90°, ∠ABD = 35°, then ∠ACB is C
a) 35° D

b) 70°
c) 55°
A 35° B
d) 45°

Answers: 1. a) 30° 2. c) 90°, 90° 3. a) equal 4. c) chord 5. c) 55°

64