JKLM is a cyclic quadrilateral in which ∠K is opposite to ∠M. When JK and ML are produced, meet at point Z. JK = 10 cm, KZ = 12 cm and MZ = 33 cm. What is the length of LZ ?
Answer & explanation
Correct answer: option 2
If chords AB and CD of a circle intersect each other at a point P outside the circle then, PA × PB = PC × PD
Here,
ZK × ZJ = ZL × ZM
ZL = 12 × \(\frac{22}{22}\)
ZL = 8 cm.