Circle - Jamb Mathematics Past Questions and Answers

Question 21:

• JAMB 1979

PQRS is a cyclic quadrilateral with PQ as diameter of the circle. If < PQS = 15^o find < QRS

A. 75^o
B. 37\(\frac{1}{2}\)^o
C. 127\(\frac{1}{2}\)^o
D. 105^o

Question 22:

• JAMB 1979

In the figure, \(\bigtriangleup\) ABC are in adjacent planes. AB = AC = 5cm, BC = 6cm and o then AE is equal to

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

Question 23:

• JAMB 1980

In the figure, PQ\\SR, ST\\, ST\\RQ, PS = 7cm, PT = 7cm, SR = 4cm. Find the ratio of the area QRST to the area of PQRS.

A. 56.77
B. 56.105
C. 28:105
D. 28:49
E. 56:49

Question 24:

• 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 25:

• 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 + \(\frac{2}{2}\))