GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 161:

• JAMB 1980

fG is a given straight line and H is a fixed point. The construction marks shown in the diagram indicate the

A. Perpendicular bisector of the line
B. Perpendicular bisector of th eline JK
C. Perpendicular bisector of the line HI
D. Perpendicular from H to the line FG

Question 162:

• JAMB 1980

In the figure, FGHJ is a circle of radius 3cm centre O. FOH, GOJ are perpendicular diameters. With G as centre of an arc of a circle is drawn to pass through F and H. Find the length of the perimeter of the lunar portion shaded.

A. 3\(\pi\)\(\sqrt{2 - 1}\)cm
B. \(\frac{9}{2}\)\(\pi\)cm
C. 3 \(\pi\)(1 + \(\frac{2}{2}\))
D. 3(1 + \(\frac{2}{2}\))

Question 163:

• JAMB 1980

The angles marked in the figure are measured in degrees. Find x.

A. 45^o
B. 90^o
C. 60^o
D. 15^o
E. 30^o

Question 164:

• JAMB 1980

In the figure, PS = SR and Rx is a tangent to the circle at R, < QRX is equal to 72^o. Find

A. 20^o
B. 36^o
C. 72^o
D. 30^o
E. 15^o

Question 165:

• JAMB 1980

If \(\theta\) = \(\frac{3}{2}\) and \(\theta\) is less than 90^o, calculate tan \(\frac{(90 - \theta)}{cos^2\theta}\)

A. \(\frac{1}{2}\)
B. \(\frac{4}{\sqrt{3}}\)
C. \(\sqrt{3}\)
D. 4\(\sqrt{3}\)