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The area of the region {(x,y):x^(2)+y^(2...

The area of the region `{(x,y):x^(2)+y^(2) le 1 le x+y}` , is

A

`(pi)/(5)`

B

`(pi)/(4)`

C

`(pi^(2))/(4)`

D

`(pi)/(4)-(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
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OBJECTIVE RD SHARMA-AREAS OF BOUNDED REGIONS-Chapter Test
  1. The area bounded by the curve y=4x-x^2 and x-axis is (A) 30/7 sq. unit...

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  2. Area bounded by the parabola y^2=x and the line 2y=x is (A) 4/3 (B) 1 ...

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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. The area common to the parabolas y=2x^2 and y=x^2+4 (in square units) ...

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

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  8. Examples: Find the area bounded by the parabola y^2 = 4ax and its latu...

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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 t...

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  13. Find the area enclosed between the curves: y = loge (x + e) , x = loge...

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

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

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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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