Definite IntegrationHard

Question

The area of the region enclosed between the curves 7x2 + 9y + 9 = 0 and 5 x2 + 9 y + 27 = 0 is:

Options

A.2
B.4
C.8
D.16

Solution

7x2 + 9y + 9 = 0
y1 = - 7/9 x2  - 1
y2 = - 5/9 x2 - 3
from - x2 - 1 = - x2 - 3           ⇒      x = ± 3
Area = ⇒ Area = 8

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