Jamb Mathematics 1998 Past Questions and Answers

Question 26:

• JAMB 1998

From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60^o and 45^o respectively. Find the distance between the huts

A. 150(1 + \(\sqrt{3}\))m
B. 50( \(\sqrt{3}\) - \(\sqrt{3}\))m
C. 150 \(\sqrt{3}\)m
D. \(\frac{50}{\sqrt{3}}\)m

Question 27:

• JAMB 1998

If y = 243(4x + 5)^-2, find \(\frac{dy}{dx}\) when x = 1

A. \(\frac{-8}{3}\)
B. \(\frac{3}{8}\)
C. \(\frac{9}{8}\)
D. -\(\frac{8}{9}\)

Question 28:

• JAMB 1998

Differentiate \(\frac{x}{cosx}\) with respect to x

A. 1 + x sec x tan x
B. 1 + sec² x
C. Cos x + x tan x
D. X sec x tan x + secx

Question 29:

• JAMB 1998

Evaluate ∫\(^{\pi}_{2}\)(sec² x - tan²x)dx

A. \(\frac{\pi}{2}\)
B. \(\pi\) - 2
C. \(\frac{\pi}{3}\)
D. \(\pi\) + 2

Question 30:

• JAMB 1998

find the equation of the curve which passes through by 6x - 5

A. 6x² - 5x + 5
B. 6x² + 5x + 5
C. 3x² - 5x - 5
D. 3x² - 5x + 3