(1). State two ordered pairs that satisfy each linear relation and one ordered pair that does not. (3 Marks each)

a) y = 5x - 1

b) 3x - 4y = 24

c) y = -25x + 10

d) 5x = 30 - 2y

(2). a) Determine the radius of a circle that is centred at (0, 0) and passes through

i) (3, 4)

ii) (5, 0)

iii) (0, 3)

iv) (8, 15) (2 Marks each)

b) Write the equation of each circle in part a). (4 Marks)

c) State the coordinates of two other points on each circle. (2 Marks)

d) Sketch the graph of each circle. (2 Marks)

(3). The angle between two equal sides of an isosceles triangle is 52⁰. Each of the equal sides is 18 cm long.

a) Determine the measures of the two equal angles in the triangle. (2 Marks)

b) Determine the length of the third side. (2 Marks)

c) Determine the perimeter of the triangle. (2 Marks)

(4). A radar operator on a ship discovers a large sunken vessel lying flat on the ocean floor, 200 m directly below the ship. The radar operator measures the angles of depression to the front and back of the sunken ship to be 56⁰ and 52⁰. How long is the sunken ship? (3 Marks)

(5). Fred and Agnes are 520 m apart. As Brendan flies overhead in an airplane, they measure the angle of elevation of the airplane. Fred measures the angle of elevation to be 63⁰. Agnes measures it to be 36⁰. What is the altitude of the airplane? (3 Marks)