Practicing Success
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? |
2 cm 1 cm 4 cm 5 cm |
4 cm |
AX is tangent and XQ is secant. AX2 = XP × XQ a2 = 1 × 4 a = 2 ⇒ AB = 4 cm |