The distance between two parallel tangents of acircle of radius 4 cm is
2cm
4cm
6cm
8cm
135°
145°
165°
155°
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
5cm
9cm
15cm
23cm
The length of tangents drawn from an external point to the circle
are equal
are not equal
sometimes are equal
are not defined
Number of tangents drawn at a point of the , circle is/are
One
Two
infinite
None
The tangents drawn at the extremities of the diameter of a circle are
perpendicular
parallel
equal
None
Tangents from an external point to a circle are
Equal
not equal
parallel
perpendicular
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
4cm
5cm
6cm
7cm
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
60 cm²
65 cm²
30 cm²
32.5 cm²
In the given figure, AB and AC are tangents to the circle with centre O such that ∠BAC = 40°, then ∠BOC is equal to
40°
50°
140°
150°
In the given figure, point P is 26 cm away from the centre O of a circle and the length PT of the tangent drawn from P to the circle is 24 cm. Then the radius of the circle is
25cm
26cm
24cm
10cm
A line through point of contact and passing through centre of circle is known as
tangent
Chord
normal
segment
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
5cm
8cm
10cm
25cm
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
60 cm²
65 cm²
30 cm²
32.5 cm²
In figure AT is a tangent to the circle with centre O such that OT = 4 cm and ∠OTA = 30°. Then AT is equal to
4cm
2cm
2√3 cm
4√3 cm
Three circles touch each other externally. The distance between their centres is 5 cm, 6 cm and 7 cm. Find the radii of the circles.
2 cm, 3 cm, 4 cm
2 cm, 1 cm, 4 cm
2 cm, 3.5 cm, 4.5 cm
4 cm, 3 cm, 1 cm
A point P is 13 cm from the centre of the circle. The length of the tangent drawn from P to the circle is 12cm. Find the radius of the circle.
5cm
7cm
10cm
12cm
In a circle of radius 17 cm, two parallel chords are drawn on opposite sides of a diameter. The distance between the chords is 23 cm. If the length of one chord is 16 cm, then the length of the other is
15cm
30cm
23cm
None
The distance between the centres of equal circles each of radius 3 cm is 10 cm. The length of a transverse tangent AB is
10cm
8cm
6cm
4cm
A point P is 10 cm from the center of a circle. The length of the tangent drawn from P to the circle is 8 cm. The radius of the circle is equal to