This is circle based question from Chapter name- circles
Topic – Angle properties of circles
Chapter number- 15
We have been given a circle in which QPX is the bisector of ∠YXZ of the triangle XYZ. W3 have to prove that XY : XQ = XP : XZ,
ICSE Avichal publication
Understanding ICSE Mathematics
Question no 20(a).
Solution:
(a) Given: ∆XYZ is inscribed in a circle.
Bisector of ∠YXZ meets the circle at Q.
QY is joined.
To Prove : XY : XQ = XP : XZ