In the following figure, seg PS is a tangent segment, line PR is a secant. If PQ = 3.6, QR = 6.4, then find PS by completing the following activity.[Figure: circle with an external point P; the secant from P cuts the circle at Q (nearer) and R (farth…

Q.2 (A)(2) In the following figure, seg PS is a tangent segment, line PR is a secant. If PQ = 3.6, QR = 6.4, then find PS by completing the following activity.

[Figure: circle with an external point P; the secant from P cuts the circle at Q (nearer) and R (farther); the tangent from P touches the circle at S.]

Activity :

\(PS^2 = PQ \times ____\) ......... (tangent secant segments theorem)

\(\therefore PS^2 = PQ \times (PQ + ____)\)

\(\therefore PS^2 = 3.6 \times (3.6 + ____)\)

\(\therefore PS^2 = 3.6 \times 10\)

\(\therefore PS^2 = 36\)

\(\therefore PS = ____\)