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If An be the area bounded by the curve y...

If `A_n` be the area bounded by the curve `y=(tanx)^n` and the lines `x=0,\ y=0,\ x=pi//4` , then for `n > 2.`

A

`A_(n)+A_(n-2)=(1)/(n-1)`

B

`A_(n)+A_(n-2) lt (1)/(n-1)`

C

`A_(n)-A_(n-2)=(1)/(n-1)`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Chapter Test
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  2. Area bounded by the parabola y^2=x and the line 2y=x is:

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  3. Area between the x-axis and the curve y=cosx, when 0 le x le 2pi is:

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  4. The ratio of the areas between the curves y=cosx and y=cos2x and x-axi...

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  5. Find the area bounded by the parabola y=x^2+1 and the straight line x+...

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  6. Prove that the area common to the two parabolas y=2x^2\ a n d\ y=x^2+4...

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  7. Find the area of the region {(x,y): x^(2)+y^(2) le 1 le x + y}

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  8. Find the area bounded by the parabola y^2 = 4ax and its latus rectum.

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  9. The area bounded by the curve y=x^(4)-2x^(3)+x^(2)+3 with x-axis and o...

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  10. Find the area common to two parabolas x^2=4ay and y^2=4ax, using integ...

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  11. The area (in square units) bounded by curves y=sinx between the ordin...

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  12. The area of the region bounded by the parabola (y-2)^(2)=x-1, the tang...

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  13. The area enclosed between the curves y=log(e)(x+e),x=log(e)((1)/(y)), ...

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  14. Find the area of the region formed by x^(2)+y^(2)-6x-4y+12 le 0, y le ...

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  15. If An be the area bounded by the curve y=(tanx)^n and the lines x=0,\ ...

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  16. The area bounded by the parabola y^2 = x, straight line y = 4 and y-ax...

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  17. The area (in square units), bounded by y=2-x^(2) and x+y=0 , is

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  18. The area bounded by the curve y=logex, the x-axis and the line x=e is ...

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  19. Find the area included between the curves x^2=4y and y^2=4x.

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  20. If the area above the x-axis, bounded by the curves y = 2^(kx) and x =...

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