Multiple Choice Questions - Set - 5
The distance between two parallel tangents of acircle of radius 4 cm is
(a) 2 cm
(b) 4 cm
(c) 6 cm
(d) 8 cm
Correct Answer – (D)
Question 2 :
The length of tangents drawn from an external point to the circle
(a) are equal
(b) are not equal
(c) sometimes are equal
(d) are not defined
Correct Answer – (A)
Question 3 :
Segment joining the points of contact of two parallel tangents
(a) may or may not pass through the centre.
(b) will pass through the centre.
(c) will not pass through the centre.
(d) none of these
Correct Answer – (B)
Question 4 :
In a circle of radius 7cm, tangent PT is drawn from point P such that PT = 24cm. If O is the centre of the circle, then the length of OP is:
(a) 30cm
(b) 31cm
(c) 28cm
(d) 25cm
Correct Answer – (D)
Question 5 :
Number of tangents drawn at a point of the , circle is/are
(a) one
(b) two
(c) none
(d) infinite
Correct Answer – (A)
Question 6 :
A tangent is drawn from a point at a distance of 17 cm of circle C(0, r) of radius 8 cm. The length of its tangent is
(a) 5 cm
(b) 9 cm
(c) 15 cm
(d) 23 cm
Correct Answer – (C)
Question 7 :
The length of a tangent drawn from a point at a distance of 10 cm of circle is 8 cm. The radius of the circle is
(a) 4 cm
(b) 5 cm
(c) 6 cm
(d) 7 cm
Correct Answer – (C)
Question 8 :
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 80° then ∠POA is equal to
(a) 50°
(b) 60°
(c) 70°
(d) 80°
Correct Answer – (A)
Question 9 :
The maximum number of common tangents that can be drawn to two circles intersecting at two distinct point is
(a) 2
(b) 4
(c) 1
(d) 3
Correct Answer – (A)
Question 10 :
PQ is a tangent drawn from a point P to a circle with centre O and QOR is a diameter of the circle such that ∠POR = 120°, then ∠OPQ is
(a) 60°
(b) 45°
(c) 30°
(d) 90°
