GEOMETRY AND TRIGONOMETRY - Jamb Mathematics Past Questions and Answers

Question 431:

• JAMB 1998

A chord of a circle radius \(\sqrt{3cm}\) subtends an angle of 60° on the circumference of he circle. Find the length of the chord

A. \(\frac{\sqrt{3}}{2}\)
B. \(\frac{3}{2}\)
C. 3
D. \(\sqrt{3}\)cm

Question 432:

• JAMB 1999

Find a positive value of \(\alpha\) if the coordinate of the centre of a circle x\(^2\) + y\(^2\) - 2\(\alpha\)x + 4y - \(\alpha\) = 0 is (\(\alpha\), -2) and the radius is 4 units.

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

Question 433:

• JAMB 1999

A man 1.7m tall observes a bird on top of a tree at an angle of 30°. if the distance between the man's head and the bird is 25m, what is the height of the tree?

A. 26.7m
B. 14.2m
C. \(1.7+(25\frac{\sqrt{3}}{3}m\)
D. \(1.7+(25\frac{\sqrt{2}}{2}m\)

Question 434:

• JAMB 1999

In ∠†MNO, MN = 6 units, MO = 4 units and NO = 12 units. If the bisector of and M meets NO at P, calculate NP.

A. 4.8 units
B. 7.2 units
C. 8.0 units
D. 18.0 units

Question 435:

• JAMB 1999

Find the tangent to the acute angle between the lines 2x + y = 3 and 3x - 2y = 5.

A. -7/4
B. 7/8
C. 7/4
D. 7/2