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Find the area (in sq. unit) bounded by t...

Find the area (in sq. unit) bounded by the curves : `y = e^(x), y = e^(-x)` and the straight line x =1.

A

`e+(1)/(e)`

B

`e-(1)/(e)`

C

`e+(1)/(e)-2`

D

none of these

Text Solution

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-AREAS OF BOUNDED REGIONS-Exercise
  1. The area bounded by the curves y=xe^(x),y=xe^(-x) and the line x=1 is

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  2. The areas of the figure into which the curve y^(2)=6x divides the circ...

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  3. Find the area (in sq. unit) bounded by the curves : y = e^(x), y = e^(...

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  4. The area of the region bounded by the Y-"axis" y = "cos" x and y = "si...

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

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  6. The vlaue of m for which the area included between th curves y^(2)=4ax...

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  7. Area bounded by the curve y=x^3, the x-axis and the ordinates x = -2 ...

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  8. The area bounded by y=x^(2),y=[x+1], 0 le x le 2 and the y-axis is whe...

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  9. Find the area bounded by the x-axis, part of the curve y=(1-8/(x^2)) ,...

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  10. The area bounded by the curve y=f(x) (where f(x) geq 0), the co-ordin...

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  11. about to only mathematics

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  12. The area of the triangle formed by the positive x-a xi s and the norma...

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  13. The area of the region for which 0<y<<3-2x-x^2a n dx>>0 is

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  14. The area between the curve y=2x^4-x^2, the axis, and the ordinates of ...

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  15. Find the area bounded by the curve x^2=4y and the straight line x=4y-2...

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  16. The area of the region bounded by the curve (a^4)(y^2)=(2a-x)(x^5) is ...

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  17. The area between x^2/a^2+y^2/b^2=1 and the straight line x/a+y/b=1 is ...

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  18. The area induced between the curves y=(x^2)/(4a) and y=(8a^3)/(x^2+4a^...

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  19. The area cut off from a parabola by any double ordinate is k time th...

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  20. Find the area of the region bounded by the curve y = sin x between x =...

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