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Find t5he area bounded by y=f(x) and the...

Find t5he area bounded by `y=f(x)` and the curve `y=2/(1+x^2)` satisfying the condition `f(x),f(y)=f(xy) AA x,y in R and f'(1)=2,f(1)=1`,

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The correct Answer is:
`(pi-2/3) sq units
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ARIHANT MATHS-AREA OF BOUNDED REGIONS-Exercise (Subjective Type Questions)
  1. Find the continuous function f where (x^4-4x^2)lt=f(x)lt=(2x^2-x^3) su...

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  2. Let f(t)=|t-1|-|t|+|t+1|, AA t in R. Find g(x) = max {f(t):x+1letlex+2...

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  3. Let f(x)= minimum {e^(x),3//2,1+e^(-x)},0lexle1. Find the area bounded...

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  4. Find t5he area bounded by y=f(x) and the curve y=2/(1+x^2) satisfying...

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  5. The value of overset(sin^(2)x)underset(0)int sin^(-1)sqrt(t)dt+overs...

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  6. Let T be an acute triangle Inscribe a pair R,S of rectangle in T as sh...

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  7. Find the maximum area of the ellipse that can be inscribed in an isoce...

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  8. In the adjacent figure the graph of two function y=f(x) and y=sin x ar...

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  9. Find the area of the region bounded by curve y=25^(x)+16 and the curve...

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  10. If the circles of the maximum area inscriabed in the region bounded by...

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  11. Find limit of the ratio of the area of the triangle formed by the orgi...

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  12. Find the area of curve enclosed by |x+y|+|x-y|le4,|x|le1, y ge sqrt(x^...

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  13. Calculate the area enclosed by the curve 4lex^(2)+y^(2)le2(|x|+|y|).

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  14. Find the area enclosed by the curve [x]+[y]-4 in 1st quadrant (where [...

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  15. Sketch the region and find the area bounded by the curves |y+x|le1,|y-...

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  16. Find the area of the region bounded by the curve 2^(|x|)|y|+2^(|x|-1)l...

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  17. The value of the parameter a(a>=1) for which the area of the figure bo...

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