4MA0 Higher January 2016 Paper 4 Q20

EdexcelHigherOld spec3 marksCircle Theorems

20

Circle through A, B, C and D with lines PAB and PDC from an external point P; PA = 10 cm, PD = 8 cm and DC = 7 cm

Diagram NOT accurately drawn

\(A\), \(B\), \(C\) and \(D\) are points on a circle.
\(PAB\) and \(PDC\) are straight lines.

\(PA\) = 10 cm, \(PD\) = 8 cm and \(DC\) = 7 cm.

Calculate the length of \(AB\).

(3)