The position vector of (A) is (egin{pmatrix}-1\4end{pmatrix}). (overrightarrow{AB}=egin{pmatrix}-3\5end{pmatrix}).
Find the coordinates of (B).[1]
Find the equation of line (AB).[2]
(C) is the point ((-2,5)). (D) is a point that lies on the line (x=3). The length of (CD) is 13 units. Find the two possible pairs of coordinates of (D).[3]
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Answer:(a)(i) \((-4,9)\) (a)(ii) \(y=-\frac53x+\frac73\) (b) \((3,-7)\) or \((3,17)\)