Coordinate Geometry - Equation of a Straight Line
Coordinate Geometry - Equation of a Straight Line
Secondary 3
The points \(A\), \(B\) and \(C\) are vertices of a triangle.
The point \(A\) is on the \(y\)-axis and the equation of the line \(AB\) is \(3y - 4x = 6\).
- Find the coordinates of point \(A\).
- Given that the coordinates of point \(C\) is \((x, 1)\) and the length of the line \(AC\) is \(\sqrt{10}\) units, find the value of \(x\).
Hence state the possible coordinates of point \(C\).
Solution:
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Answer:(i) \(A=(0,2)\) (ii) \(x=\pm3\); \(C=(3,1)\) or \((-3,1)\).
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