In Fig. 10.81, `A P` is a tangent to the circle with centre `O` such that `O P=4c m` and `/_O P A=30o` . Then, `A P=` (FIGURE) `2sqrt(2)c m` (b) `2c m` (c) `2sqrt(3)c m` (d) `3sqrt(2)c m`

In Figure, A P is a tangent to the circle with centre O such that O P=4c m and /_O P A=30^@ . Then, A P= (a) 2sqrt(2)c m (b) 2c m (c) 2sqrt(3)c m (d) 3sqrt(2)c m

In Fig.10.81,AP is a tangent to the circle with centre O such that OP=4cm and /_OPA=30o. Then,AP=(FIGURE)2sqrt(2)cm (b) 2cm (c) 2sqrt(3)cm (d) 3sqrt(2)cm

In Fig. 10.84, if A P=10 c m , then B P= (FIGURE) sqrt(91)c m (b) sqrt(127)c m (c) sqrt(119)c m (d) sqrt(109)c m

In Fig. 10.79, R Q is a tangent to the circle with centre O . If S Q=6c m and Q R=4c m , then O R= (FIGURE) (a) 8cm (b) 3cm (c) 2.5cm (d) 5cm

In Figure, if A P=10 c m , then B P= (a) sqrt(91)c m (b) sqrt(127)c m (c) sqrt(119)c m (d) sqrt(109)c m

In Fig. 10.88, A P B is a tangent to a circle with centre O at point P . If /_Q P B=50o , then the measure of /_P O Q is (FIGURE) 100o (b) 120o (c) 140o (d) 150o

In Fig. 10.96, if T P and T Q are tangents drawn from an external points T to a circle with centre O such that /_T Q P=60o , then /_O P Q= (FIGURE) 25o (b) 30o (c) 40o (d) 60o

A B C is an isosceles triangle in which /_C=90o . If A C=6c m , then A B= 6sqrt(2)c m (b) 6c m (c) 2sqrt(6)c m (d) 4sqrt(2)c m

The radius of a circle is 6 cm. The perpendicular distance from the centre of the circle to the chord which is 8 cm in length, is (a) sqrt(5)\ c m (b) 2sqrt(5)\ c m (c) 2\ sqrt(7)\ c m (d) sqrt(7)\ c m

If P T is a tangent at T to a circle whose centre is O and O P=17 c m , O T=8c m , Find the length of the tangent segment P T .