4MA0 Higher June 2013 Paper 4R Q12

EdexcelHigherOld spec3 marksCircle Theorems

12

Circle centre O with points A and B on the circle; tangent PA at A; OBP a straight line; angle APO = 26°

Diagram NOT accurately drawn

\(A\) and \(B\) are points on a circle, centre \(O\).
\(PA\) is the tangent to the circle at \(A\).
\(OBP\) is a straight line.
Angle \(APO = 26^\circ\)

Calculate the size of angle \(ABP\).

(3)