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Find the area of the region bounded by l...

Find the area of the region bounded by line x = 2 and parabola `y^(2)=8x`.

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The correct Answer is:
N/a
We have `y^(2)=8x" and " x=2`

`:. " Area of shaded region ," A =2int_(0)^(2)sqrt(8x)dx=2.2sqrt2int_(0)^(2)x^(1//2)dx`
`=4.sqrt2.[2. (x^(3//2))/3]_(0)^(2)=4sqrt2[2/3 .2sqrt2-0]`
`=32/." sq units"`
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NCERT EXEMPLAR ENGLISH-APPLICATION OF INTEGRALS-Objective Type Questions
  1. Find the area of the region bounded by line x = 2 and parabola y^(2)=8...

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

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  3. The area of the region bounded by the curve x^(2)=4y and the straight ...

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  4. The area of the region bounded by the curve y=sqrt(16-x^(2)) and X-axi...

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  5. Find the area of the region in the first quadrant enclosed by the y-ax...

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  6. Area of the regionbounded by the curve y = "cos" x between x = 0 and x...

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  7. The area of the region bounded by parabola y^(2)=x and the straight li...

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  8. The area of the region bounded by the curve y = "sin" x between the or...

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  9. The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

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  10. The area of the region by the circle x^(2)+y^(2)=1 is

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  11. The area of the region bounded by the curve y = x + 1 and the lines x=...

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

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

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  14. Using integration, find the area bounded by the curve x^2=4y and the l...

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  15. The area of the region bounded by the curve y=sqrt(16-x^(2)) and X-axi...

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  16. Area of the region in the first quadrant exclosed by the X-axis, the l...

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  17. Area of the regionbounded by the curve y = "cos" x between x = 0 and x...

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  18. The area of the region bounded by parabola y^(2)=x and the straight li...

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  19. The area of the region bounded by the curve y = "sin" x between the or...

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  20. The area of the region bounded by the ellipse (x^(2))/25+y^(2)/16=1 is

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  21. The area of the region by the circle x^(2)+y^(2)=1 is

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