Prove that a diameter AB of a circle bisects all those chords which are parallel to the tangent at the point A.

If two radit of a circle are inclined to each other at an angle of 70^(@), then the tangents at the end points of those radii are inclined to each other at an angle of……..

AB is a diameter and AC is a chord of a circle with centre O such that angleBAC=30^@ . The tangent at C intersects AB at a point D. Prove that BC=BD.

If d_(1), d_(2) (d_(2) gt d_(1)) be the diameter of the two cocentric circles and c be the length of a chord of a circle which is tangent to the other circle, prove that d_(2)^(2)=c^(2)+d_(1)^(2) .

A tangent to a circle intersects it ____ points.

Prove that tangent drawn at the ends of a diameter of a circle are parallel.

If a line is drawn through the centre of a circle to bisect a chord, then prove that it is perpendicular to the chord.

At one end A of a diameter AB of a circle of rdius 5 cm, tangent XAY is drawn to the circle. The length of the chord CD parallel to XY and at a distance 8 cm from A is ……… cm .

In figure, bar(AB) is a diameter of the circle, bar(CD) is a chord equal to the radius of the circle. bar(AC) and bar(BD) when extended intersect at a point E. Prove that angle AEB = 6^@ .