CIRCLES

In the figure, if angle AOB =125° and angle COD is equal to

• 62.5°

• 45°

• 35°

• 55°

In the fig. AT is a tangent to the circle with centre O such that OT=4cm and angle OTA=30°. Then AT is equal to

• 4 cm

• 2 cm

• 2rooot3 cm

• 4root3 cm

In fig, if PA and PB are tangents to the circle with centre O such that angle APB=50°, then angle OAB is equal to

• 25°

• 40°

• 30°

• 50°

If two tangents inclined at an angle 60° are drawn to a circle of radius 3 cm, then the length of the each tangent is

• 3/2 root3 cm

• 6 cm

• 3 cm

• 3root3 cm

The length of tangent from an external point P on a circle is always greater than the radius of the circle.

• True

• False

• May Equal

The length of tangent from an external point P on a circle with centre O is always less than OP.

• True

• False

The angle between two tangents to a circle may be 0°

• True

• False

From a point P which is at a distance of 13 cm from the centre O of a circle of radius 5 cm the pair of tangents PQ and PR to the circle is draw. Then the area of the quadrilateral PQOR is

• 60 cm^2

• 55 cm^2

• 30 cm ^2

• 65 cm^2

In fig. AB is a chord of circle and AOC is its diameter such that angle ACB =50°. If AT is a tangent to the circle at the point A, then angle BAT is equal to..

• 55°

• 60°

• 50°

• 90°

A tangent to a circle is a line that intersect the circle at

• Only one point

• Any two points

• Infinitely many points