Cambridge Additional Mathematics

200 Straight line graphs (Chapter 7)

8 Consider the points (a,0) and (0,b).

a Find the equation of the straight line through these points, in general form.

b Letμbe the angle between the line and thex-axis. Show that the general form of the equation

9 ABC is a triangle in which M is the midpoint of AB,

AbBC=90±, and C lies on thex-axis.

a Find the coordinates of:

i B ii C

b Find the area of the triangle.

10 The line 4 x¡ 3 y=2intersects the curve

3

y

¡

1

x

=1at A and B. Find the midpoint of AB.

11 This table shows experimental values ofxandy: x^2468

y 21 : 54 4 : 64 1 0 : 21

a By plotting a suitable straight line graph, show thatxandyare related by the equation

y=a£bx, whereaandbare constants.

b Hence findywhen x=1.

y

O x

B

M,(-2 9)

A,(-6 6)

C

of the line is (sinμ)x+ (cosμ)y=d where d=

ab

p

a^2 +b^2

is the shortest distance from the

line to the origin.

cyan magenta yellow black

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Additional Mathematics
Y:\HAESE\CAM4037\CamAdd_07\200CamAdd_07.cdr Tuesday, 21 January 2014 12:20:41 PM BRIAN