4400 Higher November 2005 Paper 4 Q16

EdexcelHigherOld spec3 marksCircle Theorems

16

Circle with points P, Q, R and S on it; straight lines SRX and PQX meet at X outside the circle; SR = x cm, RX = 10 cm, PQ = 11 cm, QX = 9 cm

The diagram shows a circle, \(PQRS\).
\(SRX\) and \(PQX\) are straight lines.
\(PQ = 11\) cm. \(QX = 9\) cm. \(RX = 10\) cm. \(SR = x\) cm.

Find the value of \(x\).

(3)