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14 In the diagram, the points A, B, C and D lie on
the circle, centre O.
BÂD = 47 . B
A
O
Find
(a) BÔD, D
Answer BÔD = ............................ [1]
(b) BĈD,
Answer BĈD = ............................ [1]
(c) OB̂D.
Answer OB̂D = ........................... [1]
© UCLES 2011 4024/12/O/N/11
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17
In the diagram, and are triangles with = .
and intersect at .
is the point on such that is parallel to .
= 26°, = 38° and = 110°.
Find
(a) ,
= ............................ [1]
(b) ,
= ............................ [1]
(c) ,
= ............................. [1]
(d) .
= ............................. [1]
© UCLES 2011 4024/11/M/J/11 [Turn over
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15 For
Examiner’s
C Use
D
O Q
B
A
The diagram shows a circle, centre O, passing through A, B, C and D.
BOD is a straight line and BÂC = 38°.
The line BQ is a tangent to the circle at B.
Find
(a) DÂC,
Answer a DÂC = ........................ [1]
(b) DBC,
Answer b DBC = ........................ [1]
(c) CBQ.
Answer c CBQ = ........................ [1]
© UCLES 2010 4024/12/M/J/10
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18 For
Examiner’s
A B Use
E D C
In the diagram, AB is parallel to EC.
D is the point on EC such that ED = EA.
AB̂C = 135° and AD̂E = 65°.
Find
(a) AÊD,
Answer a AÊD = .......................... [1]
(b) DÂB,
Answer b DÂB = ......................... [1]
(c) BĈD,
Answer c BĈD = .......................... [1]
(d) reflex AB̂C.
Answer d reflex AB̂C = ............... [1]
© UCLES 2010 4024/11/M/J/10
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23 In the diagram, A, B, C, D, E and F For
lie on the circle, centre O. Examiner’s
AD and FC are diameters, and FĈD = 57°. Use
Find
(a) DÊF,
Answer (a) DÊF = .......................... [1]
(b) FB̂D,
Answer (b) FB̂D = .......................... [1]
(c) CF̂D,
Answer (c) CF̂D = .......................... [1]
(d) AÔF.
Answer (d) AÔF = .......................... [1]
© UCLES 2010 4024/12/O/N/10
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23 In the diagram, the points A, B, C, D and E A For
lie on the circle centre O. y° Examiner’s
B Use
80°
EC is a diameter.
t° x° 62°
E C
OB̂A = 80°, DÊC = 59° and 59° O z°
BĈE = 62°.
Find
(a) x,
Answer x = ............................... [1]
(b) y,
Answer y = ............................... [1]
(c) z,
Answer z = ............................... [1]
(d) t.
Answer t = ............................... [1]
© UCLES 2012 4024/12/O/N/12
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