Mathematics
In the adjoining figure, O is the centre of a circle, XY is a diameter and XZ is a chord. Prove that XY > XZ.

Related Questions
In the adjoining figure, in △ABC, O is any point in its interior. Show that: OB + OC < AB + AC

In △ABC, D is any point on BC. Prove that : AB + BC + AC > 2 AD.

In the adjoining figure, PL ⊥ QR; LQ = LS and LR > LQ. Show that PR > PQ.

In the adjoining quadrilateral ABCD, AB is the longest side and DC is the shortest side. Prove that :
(i) ∠C > ∠A
(ii) ∠D > ∠B
