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Using integration, find the area enclose...

Using integration, find the area enclosed by the parabola `4y=3x^(2)` and the line `2y=3x+12`.

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The correct Answer is:
27 sq units
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Find the area enclosed by the parabola y^2 = 4x and the line y = 2x .

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

ARIHANT PUBLICATION-AREA UNDER PLANE CURVES -CHAPTER PRACTICE (LONG ANWER TYPE QUESTIONS)
  1. Using integration, find the area enclosed by the parabola 4y=3x^(2) an...

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  2. Find the area of the region bounded by the ellipse (x^(2))/(25)+(y^(2)...

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  3. Find the area of the region bounded by the ellipse (x^(2))/(4)+(y^(2))...

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  4. Find the area of the region bounded by the circle x^(2)+y^(2)=16.

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  5. Find the area of the region bounded by the curve y=2x+5 and the lines ...

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  6. Find the area bounded by the curve y=cosx between x=0 and x=2pi.

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  7. Find the area bounded by the curve y^(2)=4a^(2)(x-1) and the lines x=1...

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  8. Find the area of the region bounded by x^(2)=4y, y=2, y=4 and the Y-ax...

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  9. Find the area bounded by the curve y=x^(3), the X-axis and the ordinat...

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  10. The area between x=y^(2) and x=4 is divided into two equal parts by th...

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  11. Find the area of the smaller region bounded by the ellipse (x^(2))/(9)...

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

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  13. Find the area of the region bounded by the curve y=x^(3),y=x+6 and x=...

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  14. Find the area of the circle 4x^(2)+4y^(2)=9, which is interior to the ...

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  15. Find the area of the region bounded by the curve x^(2)+y^(2)=4x and ex...

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  16. Prove that the curves y^(2)=4x and x^(2)=4y divide the area of the squ...

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