Circle

A line intersecting a circle in two distinct points is called

• Tangent

• Secant

• Centre

• Radius

 In the figure, PA and PB are tangents to a circle with centre O. If $\angle AOB=120\degree$  then what is  $\angle OPA$  

•  $30\degree$  

•  $80\degree$  

•  $90\degree$  

•  $25\degree$  

The word tangent is derived from which language

• English

• Greek

• Latin

• Spanish

If two tangents are drawn from an external point then they subtend equal angles at the centre

• TRUE

• FALSE

In the figure if AP and BP are the two tangents to a circle with centre O so that  $\angle AOB=110\degree$ , then  $\angle APB$ is equal to 

•  $60\degree$  

•  $70\degree$  

•  $80\degree$  

•  $90\degree$  

The length of tangent from a point A at a distance of 5 cm from the centre of the circle is 4 cm. What is the radius of the circle?

• 2 cm

• 3 cm

• 4 cm

• 5 cm

The tangents drawn at the ends of a diameter of a circle are

• Intersecting

• Prallel

• Coincident

• None of the above

From the figure from a point P which is at a distance 13 cm from the centre O of a circle of radius 5 cm , the pair of tangents AP and BP to the circle are drawn. Then the area of the quadrilateral PAOB is

• $40\ cm^2$

• $50\ cm^2$

• $60\ cm^2$

• $30\ cm^2$

Two concentric circles are of radii 6.5 cm and 2.5 cm. Find the length of the chord of the larger circle which touches the smaller circle

• 10 cm

• 12 cm

• 11 cm

• 7 cm

The perpendicular at the point of contact of the tangent to a circle passes through the centre

• TRUE

• FALSE