Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Area bounded by the curve y 2 (2a – x) = x 3 and the line x = 2a is -
A
3 π a 2
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
y 2 (2a – x) = x 3 is symmetrical about x-axis because even power of y is present. It also passes through (0, 0). The line x = 2a is asymptote as y → ∞ when x = 2a.
∴ Area = 2 
= 2 
dx Put x = 2a sin 2 θ
⇒ dx = 4a sin θ cos θ d θ
∴ Area = 2 
2a 
. 4a sin θ cos θ d θ
= 16 a 2 
θ d θ = 16 a 2 . 
= 3 π a 2 .
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