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If A(1) is the area enclosed by the curv...

If `A_(1)` is the area enclosed by the curve `xy=1,` x-axis and the ordinates `x=1,x=2,and A_(2)` is the area enclosed by the curve `xy=1,` x-axis and the ordinates `x=2, x=4,` then

A

`A_(1)=2A_(2)`

B

`A_(2)=2A_(1)`

C

`A_(2)=3A_(1)`

D

`A_(1)=A_(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 curves y=e^(x),y=e^(-x) and y=2, is

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  2. The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

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  3. If A(1) is the area enclosed by the curve xy=1, x-axis and the ordinat...

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  4. If area bounded by the curve y^(2)=4ax and y=mx is a^(2)//3 , then the...

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  5. The value of a for which the area between the curves y^(2) = 4ax and x...

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  6. The area bounded by the curves y=f(x), the x-axis, and the ordinates x...

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  7. The area bounded by the curve y = sin2x, axis and y=1, is

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  8. The area between the curve x=-2y^(2)and x=1-3y^(2), is

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  9. The area between the curves y=cosx, x-axis and the line y=x+1, is

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  10. The area bounded by y=x^(2)+1 oand the tangents to it drawn from the o...

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  11. The positive value of the parmeter 'a' for which the area of the figur...

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  12. The area in square units bounded by the curves y=x^(3),y=x^(2) and the...

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  13. The area bounded by the curve y^(2)=x and the ordinate x=36 is divided...

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  14. The area contained between the x-axis and one area of the curve y=cos ...

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  15. The area of the figure bounded by |y|=1-x^(2) is in square units,

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  16. The area of the figure bounded by y=e^(x-1),y=0,x=0 and x=2 is

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  17. The area of the region on place bounded by max (|x|,|y|) le 1/2 is

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  18. The area of the closed figure bounded by y=(x^2)/2-2x+2 and the tangen...

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  19. The area of the closed figure bounded by y=1 //cos^(2)x,x=0,y=0and x=p...

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  20. The area (in square units) of the closed figure bounded by x=-1,x=2and...

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