Straight-Line Graphs (Cambridge (CIE) O Level Additional Maths): Exam Questions

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

Find the equation of the perpendicular bisector of the line $AB$, giving your answer in the form $ax+by+c=0$, where $a,b\mathrm{and}c$ are integers.

The point $C$ has coordinates $(5,p)$ and lies on the perpendicular bisector of $AB$.
Find the value of $p$.

It is given that the line $AB$ bisects the line $CD$.
Find the coordinates of $D$.

Find the equation of the perpendicular bisector of the line joining the points (12, 1) and (4, 3), giving your answer in the form $y=mx+c$.

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

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 $AB$.

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

The curves $y=x^2$ and $y^2=27x$ intersect at $O$(0, 0) and at the point $A$. Find the equation of the perpendicular bisector of the line $OA$.

The line $y=5x+6$ meets the curve $xy=8$ at the points $A$ and $B$.

Find the coordinates of $A$ and of $B$.

Find the coordinates of the point where the perpendicular bisector of the line $AB$ meets the line $y=x$.