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JEE Math Practice Question

If $$y = {m_1}x + {c_1}$$ and $$y = {m_2}x + {c_2}$$, $${m_1} \ne {m_2}$$ are two common tangents of circle $${x^2} + {y^2} = 2$$ and parabola y2 = x, then the value of $$8|{m_1}{m_2}|$$ is equal to :

  1. A.$$3 + 4\sqrt 2 $$
  2. B.$$ - 5 + 6\sqrt 2 $$
  3. C.$$ - 4 + 3\sqrt 2 $$
  4. D.$$7 + 6\sqrt 2 $$

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