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JEE Math Practice Question

If the line $$2x + y = k$$ passes through the point which divides the line segment joining the points $$(1, 1)$$ and $$(2, 4)$$ in the ratio $$3 : 2$$, then $$k$$ equals :

  1. A.$${{29 \over 5}}$$
  2. B.$$5$$
  3. C.$$6$$
  4. D.$${{11 \over 5}}$$

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