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 $△$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. $\frac{r^2}{4}(4\pi -3\sqrt{3})$