Published by:
CGP EDU Academic Team
Published on: August 14, 2026
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 :
A
B
C
D
Text Solution
Verified by ExpertsThe correct answer is:
B
Focus (ae,0)
Line L: y=mx+c pass (1,0)
0=m+C ….(1)
Line L is tangent to Hyperbola. 
From (1)
Squaring
m 2 = 4m 2 - 4
4 = 3m 2
(as m>0)
C=-m
Area
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