AC is transverse common tangent to two circles with centres P and Q and radii 6cm and 3 cm at the point A and C, respectively. If AC cuts PQ at the point B and AB = 8 cm, then the length of PQ is
10 cm
12 cm
13 cm
13 cm
PR is a tangent to a circle with centre O and radius 4 cm at point Q. If , OR = 5 cm and OP = then the length of PR is:
3 cm
A chord of a circle is equal to its radius. A tangent is drawn to the circle at an extremity of the chord. The angle between the tangent and the chord is
30°
45°
60°
60°
Two circles with centres P and Q touch each other externally. A straight line drawn through the point of contact intersects the circle with centre P at A and the circle with centre Q at B. Then, which of the following is true?
AP = BQ
AP/BQ
AP || BQ
AP || BQ
PQ is a tangent to the circle at T. If TR = TS where R and S are points on the circle and ∠RST = 65°, the ∠PTS = ?
65°
130°
In a circle, a diameter AB and a chord PQ (which is not a diameter) intersect each other at X perpendicularly. If AX : BX = 3 : 2 and the radius of the circle is 5 cm, then the length of chord PQ is
Let P and Q be two points on a circle with centre O. If two tangents of the circle through P and Q meet at A with is
96°
48°
66°
66°
AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. If , then measure of is
56°
34°
68°
68°
The radius of a circle is 6 cm. The distance of a point lying outside the circle from the centre is 10 cm. The length of the tangent drawn from the outside point to the circle is
5 cm
6 cm
7 cm
8 cm
A, B, C are three points on a circle. The tangent at A meets BC produced at T, . The angle subtended by BC at the centre of the circle is
84°
92°
96°
96°