NBT Mathematics: Analytical Geometry

Question 1

Calculate the distance between points A(−1, 3) and B(5, −5).

Accepted Answer

10

Answer

8

Answer

√20

Answer

14

Question 2

M is the midpoint of P(−4, 6) and Q(2, −2). What are the coordinates of M?

Accepted Answer

(−1, 2)

Answer

(1, −2)

Answer

(−2, 4)

Answer

(3, −4)

Question 3

A line has a gradient of 3/4. What is the gradient of a line perpendicular to it?

Accepted Answer

−4/3

Answer

3/4

Answer

4/3

Answer

−3/4

Question 4

A circle has centre (3, −2) and radius 5. Which equation represents this circle?

Accepted Answer

(x − 3)² + (y + 2)² = 25

Answer

(x + 3)² + (y − 2)² = 25

Answer

(x − 3)² + (y − 2)² = 5

Answer

(x + 3)² + (y + 2)² = 25

Question 5

Are the points A(0, 0), B(2, 3) and C(4, 7) collinear?

Accepted Answer

No, because the gradients AB and BC are different

Answer

Yes, because the gradients AB and BC are equal

Answer

No, because the distance AC does not equal AB + BC

Answer

Yes, because all three points lie on the same x-axis

Question 6

Find the equation of the straight line passing through (1, 4) and (3, −2).

Accepted Answer

y = −3x + 7

Answer

y = 3x + 1

Answer

y = −3x + 1

Answer

y = 3x + 7