In the diagram, \(ABCD\) is a square. The coordinates of \(A\) and \(D\) are \((2,3)\) and \((5,2)\) respectively. Find the area of square \(ABCD\).[3]
The points \(M(0,2k)\), \(N(1,k)\) and \(P(5,-6)\) lie on the same straight line.
Show that the value \(k\) is 2.[2]
Find the equation of \(MN\).[2]
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Answer:(a) \(10\text{ units}^2\) (b)(i) \(k=2\) (shown) (ii) \(y=-2x+4\)