Question

AB and CD are two equal chords of a circle with centre O which intersect each other at right angle at point P. If OM ⊥ ABand ON ⊥ CD; show that OMPN is a square.

Answer 1

(Perpendicular drawn from the centre of a circle to a chord bisects it)

As the two equal chords AB and CD intersect at point P inside

The circle,

∴ Quadrilateral OMPN is a square