Coordinate Geometry Jamb Mathematics Past Questions
Question 6
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 7
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 8
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
Question 9
From a point P, the bearings of two points Q and R are N670W and N230E respectively. If the bearing of R from Q is N680E and PQ = 150m, calculate PR
- A. 120m
- B. 140m
- C. 150m
- D. 160m
Question 10
Find the equation of the locus of a point P(x,y) such that PV = PW, where V = (1,1) and W = (3,5)
- A. 2x + 2y = 9
- B. 2x + 3y = 8
- C. 2x + y = 9
- D. x + 2y = 8
