Question

Given below are two statements : Statement I: If two chords XY and ZT of a circle intersects internally at point P, then PX - PY = PZ - PT Statement II: If two chords XY and ZT of a circle intersect internally at point P, then PXZ and PTY are similar triangles. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

D. Statement I is false because the intersecting chords theorem states that $PX \cdot PY = PZ \cdot PT$, not subtraction. Statement II is true because $\angle XPZ = \angle TPY$ (vertically opposite) and $\angle PXZ = \angle PTY$ (angles in the same segment), making $	riangle PXZ \sim 	riangle PTY$ by AA similarity criterion.

Intersecting Chords Statements

Explanation

Practise this under exam conditions