GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 246:

• 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 247:

• 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. \(\pi + \frac{9 \sqrt{3}}{4}\)

Question 248:

• JAMB 1986

At what points does the straight line y = 2x + 1 intersect the curve y = 2x² + 5x - 1?

A. (-2, -3) and(\(\frac{1}{2}\), 0)
B. (1, 0), (1, 3)
C. (4, 0) and (0,1)
D. 2, 0) and (0,1)

Question 249:

• JAMB 1986

If cos\(\theta\) = \(\frac{a}{b}\), find 1 + tan²\(\theta\)

A. \(\frac{b^2}{a^2}\)
B. \(\frac{a^2}{b^2}\)
C. \(\frac{a^2 + b^2}{b^2 - a^2}\)
D. \(\frac{2a^2 + b^2}{a^2 + b^2}\)

Question 250:

• JAMB 1986

A regular polygon of n sides has 160^o as the size of each interior angle. Find n

A. 18
B. 16
C. 14
D. 12