Tangents and Radii

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

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

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

• TRUE

• FALSE

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

• Intersecting

• Prallel

• Coincident

• None of the above

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

In two concentric circles the chord of the larger circle, which touches the smaller circle, is bisected at the point of contact

• TRUE

• FALSE

If a point P lies outside the circle then only two tangents can be drawn to the circle from P

• TRUE

• FALSE

In Fig, the pair of

tangents AP and AQ drawn from an external point

A to a circle with centre O are perpendicular to

each other and length of each tangent is 5 cm.

Then the radius of the circle is (click image).

• 10 cm

• 7.5 cm

• 5 cm

• 2.5 cm