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JEE Math Practice Question

Let $$\mathrm{A}$$ be the point of intersection of the lines $$3 x+2 y=14,5 x-y=6$$ and $$\mathrm{B}$$ be the point of intersection of the lines $$4 x+3 y=8,6 x+y=5$$. The distance of the point $$P(5,-2)$$ from the line $$\mathrm{AB}$$ is

  1. A.$$\frac{13}{2}$$
  2. B.8
  3. C.$$\frac{5}{2}$$
  4. D.6

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