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JEE Math Practice Question

A line, with the slope greater than one, passes through the point $$A(4,3)$$ and intersects the line $$x-y-2=0$$ at the point B. If the length of the line segment $$A B$$ is $$\frac{\sqrt{29}}{3}$$, then $$B$$ also lies on the line :

  1. A.$$2 x+y=9$$
  2. B.$$3 x-2 y=7$$
  3. C.$$ x+2 y=6$$
  4. D.$$2 x-3 y=3$$

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