JEE Main 2022 Mathematics question
Let the focal chord of the parabola P : 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 : . 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
Answer: (2)
Solution
The focus of the parabola is (1, 0), so the focal chord y = mx + c passes through it: c = −m. The line is tangent to , so , i.e. , giving and . Putting
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account