Let the focal chord of the parabola P: y²=4 x along the line L: y=m x+c, m>0 meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola H: x²-y²=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:

Coordinate Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 29 Jul, Morning shift · Q4673

JEE Main 202229 Jul, Morning shiftMathematicsHardCoordinate Geometry478× since 2002

Let the focal chord of the parabola

\mathrm{P}: y^{2}=4 x

along the line

\mathrm{L}: y=\mathrm{m} x+\mathrm{c}, \mathrm{m}>0

meet the parabola at the points M and N. Let the line L be a tangent to the hyperbola

\mathrm{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 :