Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The area enclosed by the curves 3x 2 + 5y = 32 and y = | x – 2 | is -
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
B
3x 2 + 5y = 32
⇒ x 2 = – 
y = |x – 2| = 
⇒ 
Here C (–2, 4), D(3, 1), A (2, 0)
E(3, 0), B (–2, 0)
Required area = 
– Δ ABC – Δ ADE
= 
(32 – 3x 2 ) dx – 
(BC × AB) – 
(DE × AE)
= 
– 
(4 × 4) – 
(1 × 1)
= 
(96 – 27 + 64 – 8) – 
= 
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