The line segment joining the midpoints of two parallel chords of a circle passes through the centre AB and - Maths - Algebraic Expressions and Identities

Question

The line segment joining the midpoints of two parallel chords of a
circle passes through the centre AB and CD are two equal chords of
a circle with centre O If AB and CD, on being produced meet at a
point P outside the circle, prove that:-
(i) PA=PC (ii) PB=PD

Gursheen Kaur · Accepted Answer

The line segment joining the midpoints of two parallel chords of a circle passes through the centre. AB and CD are two equal chords of a circle with centre O. If AB and CD, on being produced meet at a point P outside the circle, prove that:- (i) PA=PC (ii) PB=PD

The line segment joining the midpoints of two parallel chords of a circle passes through the centre. AB and CD are two equal chords of a circle with centre O. If AB and CD, on being produced meet at a point P outside the circle, prove that:-
(i) PA=PC (ii) PB=PD