`EF and EH` are the two chords of a circle with cen-tre O intersecting at E. The diameter ED bisects the angle `HEF.` Show that the triangle `FEH` is anisosceles triangle.

Chords AB and CD of a circle with centre O, intersect at a point E. If OE bisects angle AED, prove that chord AB = chord CD.

Show that if two chords of a circle bisect one another they must be diameters.

Show that if two chords of a circle bisect one another they must be diameters.

In Figure, A B\ a n d\ A C are two equal chords of a circle whose centre is O . If O D\ _|_A B\ a n d\ O E\ _|_A C , prove that /_\A D E is an isosceles triangle.

In a fig.PA is a tangent to the circle.PBC is a secant & AD bisects angle BAC.Show that triangle PAD is an isosceles triangle.Also show that /_CAD=(1)/(2)(/_PBA-/_PAB)

In a fig. PA is a tangent to the circle. PBC is a secant & AD bisects angle BAC. Show that triangle PAD is an isosceles triangle.Also show that /_CAD=1/2(/_PBA-/_PAB)

AB and CD are two parallel chords of a circle and lines CA and DB intersect each other at O. Show that OA = OB.

Two chords AB and CD of a circle intersect at A, AB is the diameter and CD is bot to AB .AE = 2 cm AB = 10 cm,Find value of ED.

In the figure PA is a tangent to the circle, PBC is secant and AD bisects angle BAC. Show that triangle PAD is an isosceles triangle. Also, show that: /_CAD=1/2[/_PBA-/_PAB]