Fill in the blanks (i) A tangent to a circle intersects it in …………point (s) .

Fill in the blanks (i) A tangent to a circle touches it in …... Point (s). (ii) A line intersecting a circle in two points is called a ….. (iii) Number of tangents can be drawn to a circle parallel to the given tangent is …. (iv) The common point of a Tangent to a circle and the circle is called ..... (v) We can draw ..... tangents to a given circle. (vi) A circle can have ..... parallel tangents at the most.

In the figure PO _|_ QO . The tangents to the circle at P and Q intersect at a point T. Prove that PQ and OT are right bisectors of each other.

In the given figure PQ & RS are two parallel tangents to a circle o and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that angleAOB = 90^@

In the given figure, two circles touch each other externally at the point C. Prove that the common tangent to the circle at C bisects the common tangents at P and Q.

In Fig. two chords AB and CD of a circle intersect each other at the point P ( when produced ) outside the circle prove that DeltaPAC~DeltaPDB

In Fig. two chords AB and CD of a circle intersect each other at the point P ( when produced ) outside the circle prove that PA.PB=PC.PD

In the figure, PQL and PRM are tangents to the circle with centre O at the points Q and R respectively and S is a point on the circle such that |__SQL=50^(@) and |__SRM=60^(@) . Find |__QSR .

In the given figure 4.13 ,xy and x'y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting xy at A and x'y' at B. Prove that angle AOB =90^@ .