Jamb Mathematics 1985 Past Questions and Answers

Question 46:

• JAMB 1985

In the figure, PQ is the tangent from P to the circle QRS with SR as its diameter. If QRS = \(\theta\)^oand RQP = \(\phi\)^o, which of the following relationships between \(\theta\)^o and \(\phi\)^o is correct

A. \(\theta\)^o + \(\phi\)^o = 90²
B. \(\phi\)^o = 90² - 2\(\theta\)^o
C. \(\theta\)^o = \(\phi\)^o
D. \(\phi\)^o = 2\(\theta\)^o
E. \(\theta\)^o + 2\(\phi\)^o

Question 47:

• JAMB 1985

In the figure, the area of the shaded segment is

A. 3\(\pi\)
B. 9\(\frac{\sqrt{3}}{4}\)
C. 3 \(\pi - 3 \frac{\sqrt{3}}{4}\)
D. \(\frac{(\sqrt{3 - \pi)}}{4}\)
E. \(\pi + \frac{9 \sqrt{3}}{4}\)