Jamb Mathematics 2000 Past Questions and Answers

Question 21:

• JAMB 2000

3y = 4x - 1 and Ky = x + 3 are equations of two straight lines. If the two lines are perpendicular to each other, find K.

A. -4/3
B. -3/4
C. 3/4
D. 4/3

Question 22:

• JAMB 2000

if P and Q are fixed points and X is a point which moves so that XP = XQ, the locus of X is

A. A straight line
B. A circle
C. The bisector of angle PXQ
D. The perpendicular bisector of PQ

Question 23:

• JAMB 2000

In a regular polygon, each interior angle doubles its corresponding exterior angle. Find the number of sides of the polygon.

A. 8
B. 6
C. 4
D. 3

Question 24:

• JAMB 2000

A predator moves in a circle of radius √2 centre (0,0), while a prey moves along the line y = x. If 0 \(\leq\) x \(\leq\) 2, at which point(s) will they meet?

A. (1,1) only
B. (1,1) and (1,2)
C. (0,0) and (1,1)
D. (√2,√2) only

Question 25:

• JAMB 2000

Find the value of \(\int^{\pi}_{0}\frac{cos^{2}\theta-1}{sin^{2}\theta}d\theta\)

A. π
B. π/2
C. -π/2
D. -π