AB is a diameter of a circle. CD is a chord parallel to AB and `2CD = AB`. The tangent at B meets the line AC produced at E then AE is equal to -

AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. if angleCAB=34^(@) , then measure of is angleCBA is

In the adjoinig figure, AB is a diameter of the circle, CD is a chord equal to the radius of the circle. AC and BD when extended intersect at a point E. Prove that angleAEB=60^@ .

In Fig.10.32, AB is a diameter of the circle, CD is a chord equal to the radius of the circle, AC and BD when extended intersect at a point E.Prove that /_AEB backslash=backslash60^(@)

In the figure CD is parallel to AB. The angle y is equal to:

A straight line AB is divided at C so that AC=3CB . Circles are described on AC and CB as diameters and a common tangent meets AB produced at D . Show that BD is equal to the radius of the smaller circle.