Euclidean Geometry - Mathematics Jamb Past Questions and Answers

Question 51 :

• JAMB 1980

In the figure, PS bisects angle QPR. Find the ratio SR:QR.

A. 1:2
B. 1:3
C. 1:4
D. 1:5
E. 1:6

Question 52 :

• 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 53 :

• 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 54 :

• 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 55 :

• JAMB 1981

An isosceles triangle of sides 13cm, 13cm, 10cm is inscribed in a circle. What is the radius of the circle?

A. 7cm
B. 12cm
C. 8cm
D. 7cm
E. 69cm