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JEE Math Practice Question

A line is drawn through the point $$(1, 2)$$ to meet the coordinate axes at $$P$$ and $$Q$$ such that it forms a triangle $$OPQ,$$ where $$O$$ is the origin. If the area of the triangle $$OPQ$$ is least, then the slope of the line $$PQ$$ is :

  1. A.$$-{1 \over 4}$$
  2. B.$$-4$$
  3. C.$$-2$$
  4. D.$$-{1 \over 2}$$

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