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JEE Math Practice Question

If the line $$y = 4 + kx,\,k > 0$$, is the tangent to the parabola $$y = x - {x^2}$$ at the point P and V is the vertex of the parabola, then the slope of the line through P and V is :

  1. A.$${3 \over 2}$$
  2. B.$${26 \over 9}$$
  3. C.$${5 \over 2}$$
  4. D.$${23 \over 6}$$

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