Mathematics · Oct / Nov 2025 · Paper 42 · Question 12
0580
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A C ė Ę O yĚ xĚ 65Ě 52Ě Ñ NOT TO SCALE A, Ñ and C lie on a circle centre O. ėĘ is a tangent to the circle at C. Angle AÑC ¤ 52° and angle ÑCĘ ¤ 65°.
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12(a)[2]
104 and angle at the centre is twice the angle at the circumference [2]
B1 for each
12(b)[2]
27 [2]
B1 for angle BAC = 65 or angle ACD = 52
or M1 for OCB = 25 and reflex AOC = 360 – their 104 or for OAC or OCA = 38 FT 180 − their 104 2
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