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An axis point with equal distances

8 written marks

\(A=(-4,2)\), \(B=(6,6)\). Point P lies on the y-axis and satisfies \(\displaystyle PA=PB\).

Part a · 3 marks

Find the coordinates of P.

Part b · 2 marks

Find the exact length PA.

Part c · 3 marks

Find the area of triangle PAB.

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