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JEE Math Practice Question

Let A $$\left( {h,k} \right)$$, B$$\left( {1,1} \right)$$ and C $$(2, 1)$$ be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is $$1$$ square unit, then the set of values which $$'k'$$ can take is given by :

  1. A.$$\left\{ { - 1,3} \right\}$$
  2. B.$$\left\{ { - 3, - 2} \right\}$$
  3. C.$$\left\{ { 1,3} \right\}$$
  4. D.$$\left\{ {0,2} \right\}$$

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