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Let the focal chord of the parabola P : y 2 = 4x along the line L : y = mx + c, m > 0 meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola H : x 2 – y 2 = 4. If O is the vertex of P and F is the focus of H on the positive x-axis, then the area of the quadrilateral OMFN is :

1. 6 2
2. 14 2
3. 6 4
4. 14 4

Correct answer: 14 2

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