4MA0 Higher June 2013 Paper 4R Q12
12

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)
| Scheme | Marks |
|---|---|
| \(\angle OAP = 90^\circ\) or \(\angle AOB = 64^\circ\) | B1 |
| \(\angle OAB = 58^\circ\) or \(\angle OBA = 58^\circ\) | B1 |
| 122 | B1 |
| (3) |
Notes
B1: May be implied by second B1
B1: Award full marks for a correct answer
May be stated or marked on diagram