GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 471:

• JAMB 2001

The bearings of P and Q from a common point N are 020° and 300° respectively. If P and Q are also equidistant from N, find the bearing of P from Q.

A. 040°
B. 070°
C. 280°
D. 320°

Question 472:

• JAMB 2001

A cylindrical tank has a capacity of 3080 m³. What is the depth of the tank if the diameter of its base is 14 m?
(Take pi = 22/7)

A. 23 m
B. 25 m
C. 20 m
D. 22 m

Question 473:

• JAMB 2001

Find the locus of a point which moves such that its distance from the line y = 4 is a constant, k.

A. Y = 4 \(\pm\) k
B. Y = k \(\pm\) 4
C. Y = 4 + k
D. Y = k - 4

Question 474:

• JAMB 2001

The chord ST of a circle is equal to the radius, r, of the circle. Find the length of arc ST.

A. πr/6
B. πr/2
C. πr/12
D. πr/3

Question 475:

• JAMB 2001

If the gradient of the curve y = 2kx² + x + 1 at x = 1 is 9, find k.

A. 4
B. 3
C. 2
D. 1