Question

if two chords of a circle are equally inclined to the diameter through their point of intersection prove that the chords are equal

Answer 1

Given:- < OYN = <OYM
Construction :-<OMY =<ONY = 90 °
To prove :- AY = BY
Proof :- In triangle ONY & Triangle OMY
<OMY =<ONY = 90 °
< OYN = <OYM
OY is common
Triangle ONY ≅ triangle OMY
ON = OM [ C. PC. T]
equal chords are at equal distance from the centre
AY = BY