Find the exact length of the line segment joining each pair of points: State the length formula

INSTRUCTIONS TO CANDIDATES

ANSWER ALL QUESTIONS

1. Find the exact length of the line segment joining each pair of points: State the length formula—1 mark. (3, 7) and (15, 2)(4)

2. Find the midpoint of the question above. State the midpoint formula—1 mark(3)

3. Write an equation for a circle with center (0,0) and radius 12.(2)

4. a) Determine the radius of the circle x2 + y2 = 81, with center (0,0).

b) Determine if the point (5, -7) lies on the circle, inside the circle or outside the circle? Show your work.(5)

5. One endpoint of a line segment is (-2, 3). The midpoint of the line segment is (1, 6). What is the other endpoint?(4)

APPLICATION:

6. Given points A(-1, 2), B(3, 1) and C(2, 5), determine whether ABC is scalene, isosceles or equilateral. Show work in good form for full marks. (Draw a grid, if needed.)

Attachments:

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