In the given figure, a straight line l passing through the centre O of the circle bisects the chord AB and CD. Prove that AB||CD.

Prove that if any straight line passing through the centre of a circle bisects any chord, which is not a diameter, then the straight line will be perpendicular on that chord.

In the given figure O is the centre of a circle and PO bisects angleAPD . Prove that AB = CD

In Figure,O is the centre of a circle and PO BISECTS /_APD .Prove that AB=CD

Two cocentric circle common centre O. A line 'l' intersects these circle A,B,C and D. Prove that AB = CD.

A straight line is drawn cutting two equal circles and passing through the mid-point M of the line joining their centres O and O'. > Prove that the chords AB and CD, which are intercepted by the two circles, are equal.

A straight line is drawn cutting two equal circles and passing through the mid-point M of the joining their centres O and O'. Prove that the chord AB and CD, which are intercepted by the two circles, are equal

In the figure given alongside ,AB and CD are straight lines thorugh the centre O of a circle. If angle AOC = 80 ^(@) and angle CDE= 40 ^(@) , find angle DCE

In the figure, O is the center of the circle and A B and CD are chords with AB=CD Prove that angle < OAB=< OCD

In the figure above, O is the centre of the circle CD is a tangent to the circle at E. OE bisects the chord AB at F. AB = 16 cm and EF = 2 cm. Find the length of DE (in cm).

AB is a diameter of a circle with centre O and AC is a chord . The straight line through O parallel to AC meets the arc BC at D. Prove that, BD= CD.