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Algebra
Question

(a) Using the distance formula, find an expressio...

(a) Using the distance formula, find an expression for the square of the distance between the points \(P ( x , y )\) and \(A ( 3,1 )\) .

(b) Hence derive the equation of the locus of the point \(P ( x , y )\) that moves so that it is always a distance of \(4\) units from \(A\) .

Answer

\(\left. \begin{array} { l l } { \text { a) } ( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } } & { \text { (b) } ( x - 3 ) ^ { 2 } + ( y - 1 ) ^ { 2 } = 16 } \end{array} \right.\)

Solution
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