SECTION II
Only THREE questions should be attempted from this Section.
Marks
10. A straight line AB, 16 cm long, is a diameter of a horizontal
circle. AB is produced to C so that BC = 2 cm, and CD is
a tangent to the circle, touching the circle at D. Calculate
the size of the angle DCA. (6)
BP is a vertical line of length 4 cm, and CP is produced to
meet a vertical line through A in Q. Calculate the length
of AQ and the size of the angle between QD and the
horizontal. (3,5)
11. In a triangle ABC, AB = 6 in, BC = 5 in, and AC = 8 in.
The line bisecting angle ACB externally meets AB produced
at D. Calculate the lengths of BD and CD. (4,6)
Calculate also the area of the triangle ABC. (4)
12. (i) A chord of a circle is 12 cm long and cuts the diameter
perpendicular to it in the ratio 4:1. Calculate the
length of the diameter. (6)
(ii) Construct a triangle PQR in which QR = 3 in,
PR = 2-5 in, and PQ = 3-5 in. Construct a straight
line ST, parallel to QR, with S on PQ and T on PR so
that
area of triangle PST __ 4
area of triangle PQR 9
Measure ST. (8)
(The construction should not be stated or proved, but all
necessary construction lines and arcs should be clearly shown.)
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