1998 - JAMB Mathematics Past Questions and Answers - page 2
11
The locus of all points at a distance 8cm from a point N passes through points T and S. If S is equidistant from T and N, find the area of triangle STN.
A
4\(\sqrt{3cm^2}\)
B
16\(\sqrt{3cm^2}\)
C
32cm2
D
64cm2
12
If the distance between the points (x, 3) and (-x, 2) is 5. Find x
A
6.0
B
2.5
C
\(\sqrt{6}\)
D
\(\sqrt{3}\)
13
The midpoint of the segment of the line y = 4x + 3 which lies between the x-ax 1 is and the y-ax 1 is
A
(\(\frac{3}{2}\), \(\frac{3}{2}\))
B
(\(\frac{2}{3}\), \(\frac{3}{2}\))
C
(\(\frac{3}{8}\), \(\frac{3}{2}\))
D
(-\(\frac{3}{8}\), \(\frac{3}{2}\))
14
solve the equation cos x + sin x \(\frac{1}{cos x - sinx}\) for values of such that 0 \(\leq\) x < 2\(\pi\)
A
\(\frac{\pi}{2}\), \(\frac{3\pi}{2}\)
B
\(\frac{\pi}{3}\), \(\frac{2\pi}{3}\)
C
0, \(\frac{\pi}{3}\)
D
0, \(\pi\)
15
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 60o and 45o 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
16
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
-\(\frac{8}{9}\)
17
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
18
Evaluate ∫\(^{\pi}_{2}\)(sec2 x - tan2x)dx
A
\(\frac{\pi}{2}\)
B
\(\pi\) - 2
C
\(\frac{\pi}{3}\)
D
\(\pi\) + 2
19
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
20
If m and n are the mean and median respectively of the set of numbers 2, 3, 9, 7, 6, 7, 8, 5, find m + 2n to the nearest whole number
A
19
B
18
C
13
D
12
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