JAMB Mathematics Past Questions & Answers - Page 394

1,966.

The locus of a point P which moves on one side only of a straight line XY so that ∠XPY = 90o is

A.

a circle

B.

a semicircle

C.

an arc of a circle through X, Y

D.

the perpendicular bisector of XY

Correct answer is B

No explanation has been provided for this answer.

1,967.

A trapezium has two parallel sides of length 5cm and 9cm. If the area is 21cm2, find the distance between the parallel sides

A.

3

B.

4

C.

6

D.

7

Correct answer is A

Area of Trapezium = 1/2(sum of parralel sides) * ht
21 = 1/2(5 + 9)h
42 = 14h
h = 42/14
h = 3cm

1,968.

The sum of the first n terms of an arithmetic progresssion is 252. If the first term is -16 and the last term is 72, find the number of terms in the series

A.

6

B.

7

C.

8

D.

9

Correct answer is D

\(S_n = 252, a = -16\hspace{1mm}and\hspace{1mm}l = 72\\S_n = \frac{n}{2}(-16+72)\\252 = \frac{n}{2}(-16+72)\\n=\frac{504}{56}\\n=9\)

1,969.

Factorize completely 4abx - 2axy -12b2x + 6bxy

A.

2x(a - 3b)(2b - y)

B.

2x(3b - a)(2b - y)

C.

2x(a - 3b)(y - 2b)

D.

2x(2b - a)(3b - y)

Correct answer is A

4abx - 2axy - 12b2x + 6bxy = (4abx - 2axy) - (12b2x - 6bxy)
= 2ax(2b - y) -6bx(2b - y)
= (2ax - 6bx)(2b - y)
= 2x(a - 3b)(2b - y)

1,970.

Triangle OPQ above is the solution of the inequalities

A.

x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0

B.

y + x ≤ 0, y - x ≥ 0, x -1 ≥ 0

C.

x - 1 ≤ 0, y - x ≥ o, y + x ≥ 0

D.

x - 1 ≤ 0, y + x ≤ 0, y - x ≤ 0

Correct answer is A

Lines bounding Δ OPQ
OQ; y - x = 0
y - x ≥ 0
PQ; x + 1 = 0
x + 1 ≥ = 0
PO; y + x = 0
y + x ≤ 0
∴ x + 1 ≥ 0, y + x ≤ 0, y - x ≥ 0