Published by:
CGP EDU Academic Team
Published on: August 14, 2026
The area enclosed by the curves x 2 = y, y = x + 2 and x-axis is -
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
A
Intersection of x 2 = y and y = x + 2 is x 2 = x + 2
⇒ x 2 – x – 2 = 0 ⇒ (x – 2) (x + 1) = 0
⇒ x = – 1, x = 2 ⇒ y = 1, y = 4
⇒ A (–1, 1), B(2, 4)
Required area = A = (A 1 + A 2 ),
where A 1 = Area of
Δ ABC = 
AC × BC = 
(1) (1) = 
as OB = –2, CO = –1,
Area = A 2 = 
= 
= 
By (1), A = 
+ 
= 
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