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Let AOB be the positive quadrant of the ...

Let AOB be the positive quadrant of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` with OA=a , OB=b .
Then show that the area bounded between the chord AB and the arc AB of the ellipse is `((pi-2)ab)/(4)`

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AAKASH SERIES-AREAS-Exercise-3.1
  1. Find the area enclosed between the curves y= x^(2)-5x and y= 4-2x

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  2. Find the area enclosed between the curves y= 2-x^(2) and y= x^(2)

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  3. Find the area enclosed between the curves y=x^(2)+1,y=2x-2 and the o...

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  4. Find the area enclosed between the curves y^(2)=2x,y=4x-1

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  5. Find the area enclosed between the curves y^(2)=2x+6 and y=x-1

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  6. Find the area enclosed between the curves y=4x^(2) and y=x^(2)+3

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  7. Find the area enclosed between the curves y=x^(2),y=2x-x^(2)

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  8. Find the area enclosed between the curves y= |x| and y= x^(2)-2

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  9. Find the area enclosed between the curves y= sin pi x, y = x^(2)-x ...

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  10. Find the area between x-axis and the curve y=(x-1)^(2)-25.

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  11. Find the area of the region formed by the segment cut off from the par...

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  12. Find the area of the region bounded by y^(2)=4ax between the lines x=a...

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  13. The area of the region bounded by the curve sqrtx+sqrty=sqrta(x,ygt0) ...

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

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

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  16. Find the area of the region in the first quadrant enclosed by the x-ax...

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

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  18. Find the area of the right angled triangle with base b and altitude h,...

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  19. Find the area of the Delta le formed by the straight line 2x+y=2 and t...

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  20. If the regions A and B are given by A= {(x,y): y gt x}, B= {(x,y): y l...

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