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a
1
b
2
c
3
d
4
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Correct option is A
y=1(x−1)2+1 When x=1,ymax=1 When x→±∞,y→0 Therefore, x -axis is the asymptote. Also f(1+x)=f(1−x) Hence, the graph is symmetrical about line x=1 From these information the graph of function is as shown in adjacent figure. Area =2∫1∞ 1(x−1)2+1dx=2tan−1(x−1)1∞=π sq. unitsSimilar Questions
The area bounded by the curve f(x) = x + sin x and its inverse function between the ordinates x= 0 to x = , is
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