Tangents on a Circle

In the figure,PA and PB are the tangents to a circle of center 'O'. ∠AOB= 120⁰ then ∠APB =

• 60⁰

• 30⁰

• 120⁰

• 75⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠APB = 48⁰ then ∠AOP =

• 68⁰

• 66⁰

• 56⁰

• 76⁰

In the figure,PA and PB are the tangents to a circle of centre 'O'. If ∠AOP = 45⁰ then ∠APB =

• 65⁰

• 135⁰

• 90⁰

• 22.5⁰

The length of the tangents that can drawn to a circle is 20 cm radius from external point which is 25 cm away from the center is

• 30 cm

• 12 cm

• 15 cm

• 18 cm

The limit of a secant to a circle is a ……… to the circle

• Chord

• Diameter

• Arc

• Tangents

No of tangents can be drawn to a circle from external point

The tangents drawn at the end points of diameter of a circle are

• coinsides

• parallel

• perpendicular

• not co planner

The tangent-chord theorem states that:

• The angle formed by a tangent and a chord is half of the measure of the intercepted arc

• Two tangents to a circle from the same point are equal in length

• The length of a tangent to a circle from a point outside the circle is equal to the radius of the circle

• None of the above

Line XD and ZD are tangents to circle A at points X and Z respectively. Major arc XCZ and minor arc XZ are the intercepted arcs of the angle created by the two tangents outside the circle. What relationship exists among the given figures?