Question

In a circle, two chords MN and PQ intersect at O. If MO = 9 cm, ON = 5 cm and OQ = 6 cm, then the value of OP (in cm) is:

Given MO 9 cm ON 5 cm OQ 6 cm We use the chord-chord product theorem MO ON PO OQ Substituting the known values 9 5 OP 6 45 6 OP OP 456 7.5 cm

A 7.5

B 6.5

C 6

D 7

Detailed Solution