Multiple Choice Questions - Set - 4
Question 1:
If four sides of a quadrilateral ABCD are tangential to a circle, then
(a) AC + AD = BD + CD
(b) AB + CD = BC + AD
(c) AB + CD = AC + BC
(d) AC + AD = BC + DB
Correct Answer – (B)
Question 2 :
At point A on a diameter AB of a circle of radius 10 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY at a distance 16 cm from A is
(a) 8 cm
(b) 10 cm
(c) 16 cm
(d) 18 cm
Correct Answer – (C)
Question 3 :
A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q
(a) √119 cm
(b) 13 cm
(c) 12 cm
(d) 8.5 cm
Correct Answer – (A)
Question 4 :
Two parallel lines touch the circle at points A and B respectively. If area of the circle is 25 n cm2, then AB is equal to
(a) 5 cm
(b) 8 cm
(c) 10 cm
(d) 25 cm
Correct Answer – (C)
Question 5 :
If TP and TQ are two tangents to a circle with centre O so that ∠POQ = 110°, then, ∠PTQ is equal to
(a) 60°
(b) 70°
(c) 80°
(d) 90°
Correct Answer – (B)
Question 6 :
The tangents drawn at the extremities of the diameter of a circle are
(a) perpendicular
(b) parallel
(c) equal
(d) none of these
Correct Answer – (B)
Question 7 :
From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm, the pair of tangents PQ and PR to the circle are drawn. Then the area of the quadrilateral PQOR is
(a) 60 cm2
(b) 65 cm2
(c) 30 cm2
(d) 32.5 cm2
Correct Answer – (A)
Question 8 :
A line through point of contact and passing through centre of circle is known as
(a) tangent
(b) chord
(c) normal
(d) segment
Correct Answer – (C)
Question 9 :
Tangents from an external point to a circle are
(a) equal
(b) not equal
(c) parallel
(d) perpendicular
Correct Answer – (A)
Question 10 :
Two circle touch each other externally at C and AB is a common tangent to the circles. Then, ∠ACB =
(a) 60°
(b) 45°
(c) 30°
(d) 90°
