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Find the area of a triangle whose vertices are
(i) \( (6,3),(-3,5) \) and \( (4,-2) \)
(ii) \( \left(a t_{1}^{2}, 2 a t_{1}\right),\left(a t_{2}^{2}, 2 a t_{2}\right) \) and \( \left(a t_{3}^{2}, 2 a t_{3}\right) \)
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(iii) \( (a, c+a),(a, c) \) and \( (-a, c-a) \)
(iv) \( (1,-1),(-4,6) \) and \( (-3,-5) \)
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