Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If the line 2x + 
y = 2 touches the hyperbola x 2 – 2y 2 = 4, then the point of contact is
A
(–2, – 
)
)
B
(–4, – 
)
)
C
(4, – 
)
)
D
(2, 
)
)
Text Solution
Verified by ExpertsThe correct answer is:
C
Equation of tangent to given hyperbola at (x 1 , y 1 ) is xx 1 – 2yy 1 = 4
On comparing this with 2x + 
y = 2
(x 1 , y 1 ) ≡ (4, – 
)
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