Geometry And Trigonometry Jamb Mathematics Past Questions
Question 21
Triangle SPT is the solution of the linear inequalities
- A. 2y - x - 2 ≤ 0, y + 2x + 2 ≥ 0, -2 ≤ x ≤ - 1
- B. -2 ≤ x ≤ 2, y ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
- C. 2y - x - 2 ≤ 0, y + 2x + 2 ≤ 0, y ≥ 0, x ≤ 0
- D. 2y - x - 2 ≥ 0, y + 2x + 2 ≤ 0, x ≤ 0
Question 22
In the figure above, PQR is a straight line segment, PQ = QT. Triangle PQT is an isosceles triangle, ∠SQR is 75 and ∠QPT is 25
. Calculate the value of ∠RST.
- A. 45°
- B. 55°
- C. 25°
- D. 50°
Question 23
The triangle PQR above is
- A. an obtuse-angled triangle
- B. a scalene triangle
- C. an isosceles triangle
- D. an equilateral triangle
Question 24
An arc of a circle subtends an angle of 30° on the circumference of a circle of radius 21cm. Find the length of the arc.
- A. 11cm
- B. 22cm
- C. 44cm
- D. 66cm
Question 25
From the top of a vertical mast 150m high., two huts on the same ground level are observed. One due east and the other due west of the mast. Their angles of depression are 60° and 45° respectively. Find the distance between the huts
- A. 150(1 + \(\sqrt{3}\))m
- B. 50( \(\sqrt{3}\) - \(\sqrt{3}\))m
- C. 150 \(\sqrt{3}\)m
- D. \(\frac{50}{\sqrt{3}}\)m
