-
The area enclosed between the parabola y = x2 and the straight line y = x is
-
-
1 8
-
1 6
-
1 3
-
1 2
-
Correct Option: B
Given equations are
y = x2 ...(i)
y = x ...(ii)
From equations (i) and (ii)
x 2 – x = 0
⇒ x(x – 1) = 0
⇒ x = 0, 1
| Area enclosed = |  | dydx | = ∫1x = 0 | dx | ∫y = x²y = x | dy |
| = | | [y]y = x²y = x | dx = | | (x² - x) dx |
| = |  | - |  | 1 | ||
| 3 | 2 | 0 |
| = | - | = | = - | ||||
| 3 | 2 | 6 | 6 |
