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:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 7.5.
We know that,
MO × ON = OP × OQ
Given that,
MO = 9 cm, ON = 5 cm, OQ = 6 cm and PO = x
Now,
⇒ 9 × 5 = x × 6
⇒ x = (9 × 5)/6
⇒ x = 45/6
⇒ x = 7.5