Straight-Line Graphs (Cambridge O Level Additional Maths)

Exam Questions

47 mins7 questions
1
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4 marks

Variables x and y are such that, when fourth root of y is plotted against 1 over x, a straight line graph passing through the points (0.5, 9) and (3, 34) is obtained. Find y as a function of x.

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2
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4 marks

Solutions to this question by accurate drawing will not be accepted.

Find the equation of the perpendicular bisector of the line joining the points left parenthesis 4 comma space minus 7 right parenthesis space and space left parenthesis negative 8 comma space 9 right parenthesis.

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1a
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4 marks

Solutions by accurate drawing will not be accepted.
The points A space and space B have coordinates (-2, 4) and (6,10) respectively.

Find the equation of the perpendicular bisector of the line A B, giving your answer in the form a x plus b y plus c space equals space 0, where a comma space b space and space c are integers.

1b
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1 mark

The point C has coordinates left parenthesis 5 comma space p right parenthesis and lies on the perpendicular bisector of A B.
Find the value of p.

1c
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2 marks

It is given that the line A B bisects the line C D.
Find the coordinates of D.

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2a
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5 marks

Find the equation of the perpendicular bisector of the line joining the points (12, 1) and (4, 3), giving your answer in the form y space equals space m x plus c.

2b
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3 marks

The perpendicular bisector cuts the axes at points A and B. Find the length of A B.

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1a
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4 marks

Solutions to this question by accurate drawing will not be accepted.
The points A and B are (4, 3) and (12, −7) respectively.

Find the equation of the line L, the perpendicular bisector of the line A B.

1b
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4 marks

The line parallel to A B which passes through the point (5, 12) intersects L at the point C. Find the coordinates of C.

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2
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8 marks

The curves y space equals space x squared and space y to the power of 2 space end exponent equals space 27 x space intersect at O(0, 0) and at the point A. Find the equation of the perpendicular bisector of the line O A.

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3a
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3 marks

The line y space equals space 5 x plus 6 meets the curve x y space equals space 8 at the points A and B.

Find the coordinates of A and of B.

3b
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5 marks

Find the coordinates of the point where the perpendicular bisector of the line A B meets the line y space equals space x

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