Let A_1 be the bounded area enclosed by the curves y=x^2+2, x+y=8 and y-axis that lies in the first quadrant. Let A_2 be the bounded area enclosed by…
JEE Main 2026 — Mathematics Calculus
2026mcqhard
Let A1 be the bounded area enclosed by the curves y=x2+2,x+y=8 and y-axis that lies in the first quadrant. Let A2 be the bounded area enclosed by the curves y=x2+2,y2=x,x=2, and y-axis that lies in the first quadrant. Then A1−A2 is equal to
Official previous-year question
Held on 24 Jan 2026 · Verified 6 Jul 2026.
Options
A
32(32+1)
B
32(22+1)
C
32(2+1)
D
32(42+1)
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Solution
For A1: intersection of y=x2+2 and x+y=8 at x=2,y=6