GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 216:

• JAMB 1984

A variable point p(x, y) traces a graph in a two-dimensional plane. (0, 3) is one position of P. If x increases by 1 unit, y increases by 4 units. The equation of the graph is

A. -3 = \(\frac{y + 4}{x + 1}\)
B. 4y = -3 + x
C. \(\frac{y}{x}\) = \(\frac{-3}{4}\)
D. 4x = y + 3

Question 217:

• JAMB 1984

A straight line y = mx meets the curve y = x2 - 12x + 40 in two distinct points. If one of them is (5, 5) find the other

A. (5, 6)
B. (8, 8)
C. (8, 5)
D. (7,7)
E. (7, 5)

Question 218:

• JAMB 1984

The table below is drawn for a graph y = x³ - 3x + 1
\(\begin{array}{c|c} x & -3 & -2 & -1 & 0 & 1 & 2 & 3 \\\hline y = x^3 - 3x + 1 & 1 & -1 & 3 & 1 & -1 & 3 & 1\end{array}\)
From x = -2 to x = 1, the graph crosses the x-axis in the range(s)

A. -1 < x < 0 and 0 < x < 1
B. -2 < x < -1 and 0 < x < 1
C. -2 < x < -1 and -1 < x < 0
D. 0 < x < 1

Question 219:

• JAMB 1984

A cone is formed by bending a sector of a circle having an angle of 210^o. Find the radius of the base of the cone if the diameter of the circle is 12cm.

A. 12cm
B. 7.00cm
C. 1.75cm
D. 21cm
E. 3.50cm

Question 220:

• JAMB 1984

The sides of a triangle are(x + 4)cm, xcm and (x - 4)cm, respectively If the cosine of the largest angle is \(\frac{1}{5}\), find the value of x

A. 24cm
B. 20cm
C. 28cm
D. 7cm
E. \(\frac{88}{7}\)