GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 221:

• JAMB 1984

A right circular cone has a base radius r cm and a vertical angle 2y^o. The height of the cone is

A. R tan y^o cm
B. R sin y^o cm
C. R cot y^o cm
D. R cos y^o cm
E. R cosec y^o cm

Question 222:

• JAMB 1984

If sin \(\theta\) = \(\frac{x}{y}\) and 0^o < 90^o then find \(\frac{1}{tan\theta}\)

A. \(\frac{x}{\sqrt{y^2 - x^2}}\)
B. \(\frac{y}{x}\)
C. \(\frac{\sqrt{y^2 + x^2}}{y^2 - x^2}\)
D. \(\frac{y^2 - x^2}{x}\)

Question 223:

• JAMB 1984

What is the volume of this regular three dimensional figure?

A. 160cm²
B. 48cm²
C. 120cm²
D. 40cm²

Question 224:

• JAMB 1984

Using \(\bigtriangleup\)XYZ in the figure, find XYZ

A. 29^o
B. 31^o
C. 31^o 20'
D. 31^o 18'

Question 225:

• JAMB 1984

Find the area of the shaded portion of the semicircular figure.

A. \(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)
B. \(\frac{r^2}{4}(2 \pi - 3 \sqrt{3})\)
C. \(\frac{1}{2}r^2 \pi\)
D. \(\frac{1}{8}r^2 \sqrt{3}\)
E. \(\frac{r^2}{4}(4 \pi - 3 \sqrt{3})\)