Question
The area of the region bounded by the curves x =y^2-2 and x=y is
BITSAT
Mathematics
Area Under Curves
2024
BITSAT 2024 (Memory Based Paper 2)
BITSAT Mathematics Question (2024) — Solution
Options
- A. 9 4
- B. 9
- C. 9 2
- D. 9 7
Answer
C. 9 2
Step-by-step solution
Given, x=y^2-2 and x=y. On solving, x=y^2-2 and x=y, we get (-1,-1) and (2,2). Area of the shaded region, aligned & A= _ -1 ^2 y d y- _ -1 ^2 (y^2-2 ) d y \\ & = [ y^2 2 - y^3 3 +2 y ]_ -1 ^2= ( 4 2 - 8 3 +4 )- ( 1 2 + 1 3 -2 ) \\ & = 10 3 + 7 6 = 27 6 = 9 2 . aligned
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