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CGP EDU Academic Team
Published on: August 14, 2026
Common tangents are drawn to the parabola y 2 = 4x & the ellipse 3x 2 + 8y 2 = 48 touching the parabola at A & B and the ellipse at C & D, then the area of the quadrilateral ABCD is λ 
the λ is equal to
Text Solution
Verified by ExpertsThe correct answer is:
55
(55)
Sol. y 2 = 4x, 
For common tangent
⇒ m = 
∴ Equation of tangent
y = 
given 
yy 1 = 2a (x + x 1 )
⇒ x 1 = 8, y 1 = 4 
x 3 = 2 , y 3 = 
∴ x 2 = 8, y 1 = – 4 
x 4 = –2 , y 4 = – 
∴ A = 
= 55 
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