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0580 P42 - Jun 2014 - Q6 - 13 marks
15589
Circle intersecting chords PR SQ atT

Angle RST = 21° and angle STR = 117°.

(a(i)) Find x and y. [2]

(a(ii)) SR = 8.23 cm, RT = 3.31 cm and PQ = 9.43 cm. Find TQ. [2]

Cyclic EFGH EF diameter GH parallel EF tangentKE

(b) EFGH is cyclic, EF a diameter, KE tangent at E, GH parallel to FE, and angle KEG = 115°. Find angle GEH. [4]

Circle ABCD centreO AOB140 OAC14 AD equalsDC

(c) Angle AOB = 140°, angle OAC = 14°, and AD = DC. Find angle ACD. [5]

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