4MA0 Higher January 2012 Paper 3 Q13

EdexcelHigherOld spec4 marksCircle Theorems

13

Circle through P, Q, R and S with chords PR and QS meeting at T; angle QPR = 34 degrees and angle PRS = 41 degrees

Diagram NOT accurately drawn

\(P\), \(Q\), \(R\) and \(S\) are points on the circumference of a circle.
\(PR\) and \(QS\) intersect at \(T\).
Angle \(QPR = 34^\circ\) and angle \(PRS = 41^\circ\)

(a)
(i) Find the size of angle \(PQS\).
(ii) Give a reason for your answer.
(2)
(b)
(i) Find the size of angle \(PTS\).
(ii) Explain why \(T\) cannot be the centre of the circle.
(2)
‹ Previous81 of 103 in Circle TheoremsNext ›