CIRCLE 10

In two concentric circles, a chord of length 24 cm of larger circle becomes a tangent to the smaller circle whose radius is 5 cm . Find the radius

• 12 cm

• 18 cm

• 13 cm

• 25 cm

The length of the tangent drawn from a point 8 cm away from the centre of a circle of radius 6 cm

• $\sqrt{7}$ cm

• 2 $\sqrt{7}$ cm

• 10 cm

• 5 cm

If PA and PB are tangents to the circle with centre O such that

 $\angle APB=50\degree$  , then  $\angle OAB$  is equal

•  $25\degree$  

•  $30\degree$  

•  $40\degree$  

•  $50\degree$  

In a right triangle ABC, right angled at B, BC=12 cm and AB= 5 cm. The radius of the circle inscribed in the triangle is

• 4

• 3

• 2

• 1

The sides AB,BC and CA of triangle ABC, touch a circle at P,Q and R respectively. IF PA= 4 cm, BP= 3 cm and AC=11 cm , then length of BC is

• 11 cm

• 10 cm

• 14 cm

• 15 cm

Quadrilateral ABCD is circumscribed to a circle. IF AB= 6 cm, BC=7 cm and CD=4 cm , Then AD=

• 6 cm

• 7 cm

• 4 cm

• 3 cm

AB is a diameter of a circle and AC is its chord such that  $\angle BAC=\ 30\degree$  .If the tangent at C intersects AB extended at D, then BC=________

• BD

• AC

• DC

• AB

The parallelogram circumscribing a circle is a _____________

• rectangle

• Rhombus

• square

• Kite

If PA and PB are two tangents drawn from an external point P to a circle such that PA=5 cm and  $\angle APB=60\degree$  , then the length of the chord AB is __________

• 6 cm

• 5 cm

• 10 cm

• 12 cm

PQ and PR are tangents drawn from P to a circle with centre
O. If  $\angle OPQ$  =35 $\degree$  ,  $\angle POQ=b$  ,  $\angle RPO=a$  then find a and b

• a=30, b=60

• a=35, b=55

• a=40, b=50

• a=45, b=45