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1993 - JAMB Mathematics Past Questions and Answers - page 5

41
The figure represents the graphs of y = x(2 - x) and y = (x - 1)(x - 3). What are the x-coordinates of P, Q and F respectively?
A
1, 3, 2
B
0, 0, 0
C
0, 2, 3
D
1, 2, 3
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42
PQRST is a regular pentagon and PQVU is a rectangle with U and V lying on TS and SR respectively as shown in the diagram. Calculate TUP
A
18o
B
54o
C
90o
D
108o
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43
In the diagram, PQRs is a circle with 0 as centre and PQ/RT. If RTS = 32o. Find PSQ
A
32o
B
45o
C
58o
D
90o
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44
In the diagram, O is the centre of the circle and POQ a diameter. If POR = 96o, find the value of ORQ.
A
84o
B
48o
C
45o
D
42o
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45
In the diagram, QP//ST:PQR = 34o qrs = 73o and Rs = RT. Find SRT
A
68o
B
102o
C
107o
D
141o
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46
In the figure, PT is a tangent to the circle at U and QU/RS if TUR = 35o and SRU = 50o find x
A
95o
B
85o
C
50o
D
35o
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47
In the diagram, QPS = SPR, PR = 9cm. PQ = 4cm and QS = 3cm, find SR.
A
6\(\frac{3}{4}\)cm
B
3\(\frac{3}{8}\)cm
C
4\(\frac{3}{8}\)cm
D
2\(\frac{3}{8}\)cm
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48
In the figure, the line segment ST is tangent to two circles at S and T. O and Q are the centres of the circles wih OS = 5cm. QT = 2cm and OR = 14cm. Find ST
A
7 \(\sqrt{3}\)cm
B
12.9cm
C
\(\sqrt{87}\)cm
D
7cm
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49
In the figure, the area of the square of the square PQRS is 100cm2. If the ratio of the area of the square TUYS to the area of the area of the square XQVU is 1 : 16, Find YR
A
6cm
B
7cm
C
8cm
D
9cm
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50
From the figure, calculate TH in centimeters
A
\(\frac{5}{\sqrt{3} + 1}\)
B
\(\frac{5}{\sqrt{3} - 1}\)
C
\(\frac{5}{\sqrt{3}}\)
D
\(\frac{\sqrt{3}}{5}\)
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