AB and CD are common tangents to two circles intersecting at P and Q. PQ when produced both sides, meet the tangents AB and CD at X and Y, respectively. If PQ = 3 cm, XY = 5 cm, then AB (in cm) will be?
Answer & explanation
Correct answer: option 3
AX is tangent and XQ is secant.
AX2 = XP × XQ
a2 = 1 × 4
a = 2 ⇒ AB = 4 cm