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Prove that the curves y^2=4xand x^2=4yd...

Prove that the curves `y^2=4x`and `x^2=4y`divide the area of the square bounded by `x = 0, x = 4, y = 4 a n d y = 0`into three equal parts.

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The correct Answer is:
`(64)/(12)=(16)/(3)`
Area(1) =Area(2)=Area(3)
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DEFINITE INTEGRALS-Exercise-7(d)
  1. Find the area enclosed with in the curve x=2-5y-3y^(2), x=0

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  2. Find the area enclosed with in the curve x^(2)=4y,x=2, y=0

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  3. Find the area enclosed with in the curve y^(2)=3x, x=3

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  4. Find the area enclosed with in the curve y=x^(2), y=2x

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  5. Find the area enclosed with in the curve y=sin 2x , y=sqrt(3) sin x...

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  6. Find the area enclosed with in the curve y=x^(2), y=x^(3)

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  7. Find the area enclosed with in the curve y=4x-x^(2), y=5-2x

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  8. Find the area in Sq. units bounded by the x-axis , part of the curve y...

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  9. Find the area of the region bounded by the parabolas y^(2)=4x and x^(2...

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  10. Find the area bounded by the curve y=l nx the X-axis and the straight...

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  11. y=x^(2)+1, y=2x-2, x=-1 , x=2

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  12. y^(2)=4x, y^(2)=4(4-x)

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  13. y=2-x^(2), y=x^(2)

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  14. Show that the area enclosed between the curve y^(2)=12(x+3) and y^(2)=...

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  15. Find the area of the region {(x,y)//x^(2)-x-1 le y le -1}

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  16. The circle x^(2) + y^(2)=8 is divided into two parts by the parabola 2...

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  17. Show that the area of the region bounded by (x^(2))/(a^(2))+(y^(2))/(b...

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  18. Find the area of region enclosed by curves y=sin pix, y=x^(2)-x, x=2

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  19. Let AOB be the positive quadrant of the ellipse (x^(2))/(a^(2))+(y^(2)...

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  20. Prove that the curves y^2=4xand x^2=4ydivide the area of the square b...

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