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# 1. The diagram below shows the line PQ, whose equation is x + 2y = 12. The line intercepts the axes at P and Q respectively.

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IB Questionbank Mathematical Studies 3rd edition 1

### 1. The diagram below shows the line PQ, whose equation is x + 2y = 12. The line intercepts the axes at P and Q respectively.

diagram not to scale

(3)

### coordinates of A.

(3) (Total 6 marks)

## xx

(3)

(2)

### (d) Find the equation of the straight line which joins the points M and N.

(4) (Total 14 marks)

(2)

IB Questionbank Mathematical Studies 3rd edition 2

1

2

y

x (5, 0)

(0, 7)

(0, –2)

l

l

1

2

1

1

(Total 8 marks)

1

2

### them as a right angle, as shown below. The student has drawn one of the lines incorrectly.

3

2

1

–1

–4 –3 –2 –1 0 1 2 3 4 x

y

90°

L

L

2

1

1

2

1

2

1

2

### (d) Draw the correct version of the incorrectly drawn line on the diagram.

(Total 8 marks)

(3)

IB Questionbank Mathematical Studies 3rd edition 3

x

x

x

x y

y

y

y

### y = 3 1 x + c

(Total 8 marks)

(4)

IB Questionbank Mathematical Studies 3rd edition 4

1

1

### cuts the x-axis at A and cuts the y-axis at B.

Diagram not drawn to scale y

x

L

L

1

2

(2)

(2)

2

2

(2)

(2)

(2)

(3)

### (ii) the area of the triangle with vertices C, M and A.

(2) (Total 15 marks)

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