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Circles
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1)
In the following figure, PA, PC and CD are tangents drawn to a circle of centre O. If AP = 3 cm, CD = 5 cm, then the length of PC is
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(a) 3 cm
(b) 5 cm
(c) 8 cm
(d) 2 cm
2)
A straight line which passes through two points on a circle is
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(a) a chord
(b) a secant
(c) a tangent
(d) the radius
3)
The maximum number of tangents drawn to a circle from an external point is.
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(a) 1
(b) 2
(c) 3
(d) 4
4)
In the figure BC is a
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(a) Radius
(b) Chord
(c) Diameter
(d) Radius
5)
In the following figure, O is the centre of a circle and AB is chord of circle, whose length is 24cm. If the length of the perpendicular OM on AB is 5cm, the radius of the circle is
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1 point
(a) 10cm
(b) 12cm
(c) 13cm
(d) 14.5cm
6)
A tangent PQ at a point P of a circle of radius 5cm meets a line through the centre O at a point Q so that OQ = 12cm. Length PQ is:
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(a)
(b)
(c)
(d)
7)
If the radius of the circle is 13 cm and the chord is 10cm then, the length of the perpendicular drawn from the centre to the chord is:
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(a) 12cm
(b) 13cm
(c) 8cm
(d) 14.5cm
8)
From a point Q, the length of the tangent to a circle is 24cm and the distance of Q from the centre is 25cm. Then the radius of the circle is:
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1 point
(a) 7cm
(b) 12cm
(c) 15cm
(d) 24.5cm
9)
If two angles are complementary of each other then each angle is
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(a) an obtuse angle
(b) a right angle
(c) an acute angle
(d) a supplementary angle
10)
Two non-parallel lines intersect:
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(a) at a point
(b) at infinite number of points
(c) both (a) and (b) may be possible
(d) None of these
11)
Find the angle which is equal to the one third of its supplement
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1 point
(a) 30°
(b) 45°
(c) 60°
(d) 90°
12) In the given figure, if TP and TQ are the two tangents to a circle with centre O so that ∠POQ = 110° , then ∠PTQ is equal to
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1 point
(a) 60°
(b) 70°
(c) 80°
(d) 90°
13)
If tangents PA and PB from a point P to a circle with centre O are inclined to each other at angle of 80°, then ∠POA is equal to
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1 point
(a) 50°
(b) 60°
(c) 70°
(d)80°
14)
A circle can have____________ parallel tangents at the most.
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1 point
a) 1
b) 2
c) 3
d) 4
15)
The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4cm. Find the radius of the circle.
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1 point
a) 1cm
b) 2cm
c) 3cm
d) 4cm
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