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JEE Math Practice Question

The distance of the point $$(6,-2\sqrt2)$$ from the common tangent $$\mathrm{y=mx+c,m > 0}$$, of the curves $$x=2y^2$$ and $$x=1+y^2$$ is :

  1. A.$$\frac{1}{3}$$
  2. B.5
  3. C.$$\frac{14}{3}$$
  4. D.5$$\sqrt3$$

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