Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The area bounded by the curve x = a cos 3 t, y = a sin 3 t is -
A
B
C
D
3 π a 2
Text Solution
Verified by ExpertsThe correct answer is:
A
Eliminating t, we have
x 2/3 + y 2/3 = a 2/3 x = 0 ⇒ y = ± a
y = 0 ⇒ x = ± a Symmetric about both the axis.
Required area = 4 
= 4 
y = a sin 3 t, x = a cos 3 t ⇒ dx/dt = –3a cos 2 t sin t = 4 
t . (–3a cos 2 t . sin t) dt = 12 a 2 
t . cos 2 t dt = 
= 
= 
π a 2
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