GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 176:

• JAMB 1981

The area of a circular plate is one-sixteenth the surface area of a ball of a ball, If the area of the plate is given as P cm², then the radius of the ball is

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

Question 177:

• JAMB 1981

Show that \(\frac{\sin 2x}{1 + \cos x}\) + \(\frac{sin2 x}{1 - cos x}\) is

A. Sin x
B. Cos²x
C. 2
D. 3

Question 178:

• JAMB 1981

What is the size of an exterior angle of a regular pentagon?

A. 36^o
B. 60^o
C. 72^o
D. 120^o
E. 360^o

Question 179:

• JAMB 1981

What is the length of an arc of a circle that substends 2\(\frac{1}{2}\) radians at the centre when the raduis of the circle = \(\frac{k}{k + 1}\) + \(\frac{k + 1}{k}\) then

A. P < 0
B. P\(\geq\) 0
C. P \(\leq\) 0
D. P < 1
E. P > 0

Question 180:

• JAMB 1981

In the figure, the chords XY and ZW are produced to meet at T such that YT = WT, ZYW = 40o and YTW = 30o. What is YXW?

A. 50^o
B. 75^o
C. 35^o
D. 115^o
E. 30^o