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Let A(h, k), B(1, 1) and C(2, 1) be t...

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) `{1,""3}` (2) `{0,""2}` (3) `{-1,""3}` (4) `{-3,-2}`

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To solve the problem, we need to find the set of values that \( k \) can take, given that the area of triangle \( ABC \) is 1 and \( AC \) is the hypotenuse. ### Step 1: Identify the coordinates of the points The points are given as: - \( A(h, k) \) - \( B(1, 1) \) - \( C(2, 1) \) ...
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