Coordinate geometry in the (x, y) plane

WMA11Topic 1.22 questions

Equations of straight lines, gradients, and parallel and perpendicular lines.

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Original practice questions written in the style of the exam.

c

5−(−1)2−4

=

−31

M1 Uses perpendicular gradient

3

with their midpoint to form a line,

y - 3 = 3(x - 2)

(1)

A1

3x - y - 3 = 0

(or any integer multiple) (1)

B1

C

is

(1, 0)

(1)

M1 Correct method for area, e.g.

\tfrac{1}{2} \times AB \times CM

with

M(2, 3)

, or the shoelace formula (1)

A1 Area

= \tfrac{1}{2} \times \sqrt{40} \times \sqrt{10} = 10

(1)