JAMB Mathematics Past Questions & Answers - Page 349

1,741.

Find the locus of a particle which moves in the first quadrant so that it is equidistant from the lines x = 0 and y = 0 (where k is a constant)?

A.

x + y = 0

B.

x - y = 0

C.

x + y + k = 0

D.

x - y - k = 0

Correct answer is B

No explanation has been provided for this answer.

1,742.

Find the radius of a sphere whose surface area is 154 cm\(^2\)?

A.

7.00 cm

B.

3.50 cm

C.

3.00 cm

D.

1.75 cm

Correct answer is B

154 = 4 x 22 x  r\(^2\)
7

 

154x7

r\(^2\)

4x22

 


√ 49/4  = r

 

 

 

 

7 = r
2


∴r = 3.50

 

 

1,743.

A chord drawn 5 cm away from the center of a circle of radius 13 cm. Calculate the length of the chord?

A.

7cm

B.

9cm

C.

12cm

D.

24cm

Correct answer is D

No explanation has been provided for this answer.

1,744.

If the hypotenuse of a right-angled isosceles triangle is 2cm. What is the area of the triangle?

A.

1/√2 cm2

B.

1 cm2

C.

√2 cm2

D.

2√2 cm2

Correct answer is B

No explanation has been provided for this answer.

1,745.

In the figure above , TS//XY and XY = TY, ∠STZ = 34°, ∠TXY = 47°, find the angle marked n?

A.

47o

B.

52o

C.

56o

D.

99o

Correct answer is B

In Δ TYX
XY = TY ∴y =47° base ∠s of ISCΔ
But y+x+34+47 = 180 interior
opposite ∠s are supplementary
47 + x + 34 + 47 = 180
x + 128= 180
x = 180- 128
x = 52°