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The value of a(a >0) for which the area ...

The value of `a(a >0)` for which the area bounded by the curves `y=x/6+1/(x^2),y=0,x=a ,a n dx=2a` has the least value is__

A

2

B

`sqrt(2)`

C

`2^(1//3)`

D

1

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The correct Answer is:
D
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DISHA PUBLICATION-APPLICATION OF INTEGRALS-EXERCISE-1: CONCEPT BUILDER (TOPICWISE)
  1. The area between the curve y = 1 - |x| and the x- axis is equal to

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  2. What is the area of the parabola y^(2) = x bounde by its latus rectu...

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  3. The value of a(a >0) for which the area bounded by the curves y=x/6+1/...

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  4. The curve y = x^2 - 7x + 10 intersects the x-axis at the points A and ...

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  5. What is the area bounded by the lines x = 0, y = 0 and x + y + 2 =...

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  6. The area (in sq. units) bounded by the curve |y|=|ln|x|| and the coord...

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  7. Find the area bounded by the curve y=sin^(-1)x and the line x=0,|y|=pi...

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  8. The area of the region (in sq units), in the first quadrant, bounded b...

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  9. The area enclosed between the graph of y=x^(3) and the lines x=0, y=1,...

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  10. The area of the region bounded by the curve x=2y+3 and the lines y=1, ...

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  11. The area of the region bounded by y^2 = 2x + 1 and x - y -1=0 is

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  12. The area bounded by the curve y=[x^2/64+2],y=x-1,y=x-1 and x=0 above t...

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  13. The figure shows a DeltaAOB and the parabola y = x^(2). The ratio of t...

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  14. If the area enclosed by y^2 = 4ax and the line y=ax is 1/3 sq.units, t...

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  15. Which of the following is not the area of the region bounded by y= e^(...

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  16. Find the area of the region bounded by: the parabola y=x^2 and the li...

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  17. The area above the x-axis enclosed by the curves x^(2)-y^(2) = 0 and x...

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  18. Area bounded by the parabola y = x^(2) - 2x + 3 and tangents drawn to ...

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  19. The area between the curves y= x^(2) and y = (2)/(1 + x^(2)) is equal ...

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  20. If the area enclosed by y^(2) = 4ax and the line y=ax is (1)/(3) sq. u...

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