JAMB Mathematics Past Questions & Answers - Page 363

1,811.

Find the size of each exterior angle of a regular octagon

A.

51o

B.

45o

C.

40o

D.

36o

Correct answer is B

Each Exterior ∠ = 360/n
= 360/8
= 45o

1,812.

What is the value of k if the mid-point of the line joining (1 - k, - 4) and (2, k + 1) is (-k , k)?

A.

-3

B.

-1

C.

-4

D.

-2

Correct answer is A

(1-k+2) / 2 = - k and -4 + k + 1 = k
3-k = -2k and -3 + k = 2k
K = -3 and k = -3

1,813.

Find the locus of point equidistant from two straight lines y - 5 = 0 and y - 3 = 0

A.

y - 2 = 0

B.

y - 4 = 0

C.

y - 1 = 0

D.

y - 3 = 0

Correct answer is B

No explanation has been provided for this answer.

1,814.

A man 40 m from the foot of a tower observes the angle of elevation of the tower to be 30o. Determine the height of the tower.

A.

\(\frac{40\sqrt{3}}{3}m\)

B.

20 m

C.

40√3 m

D.

40 m

Correct answer is A

No explanation has been provided for this answer.

1,815.

If the lines 2y - kx + 2 = 0 and y + x - k/2 = 0 Intersect at (1, -2), find the value of k

A.

-4

B.

-3

C.

-2

D.

-1

Correct answer is C

If the point of intersection is (1, -2), it implies that x = 1 and y = -2 when the two equation are solved simultaneously.
∴ substitute x = 1 and y = -2 in any of the equations
2y - k x + 2 = 0
2(-2) - k(1) + 2 = 0
-4 - k + 2 = 0
-4 + 2 = k
-2 = k



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