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(b) Find the ratio in which the area bou...

(b) Find the ratio in which the area bounded by the curves `y^2=12x` and `x^2=12y` is divided by the line x=3.

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MODERN PUBLICATION-APPLICATIONS OF THE INTEGRALS-EXERCISE
  1. Draw the rough sketch and find the area of region bounded between the ...

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  2. Draw the rough sketch and find the area of region bounded between the ...

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  3. (b) Find the ratio in which the area bounded by the curves y^2=12x and...

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  4. Find the area of the region bounded between parabolas y^2 = x and the ...

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  5. Find the area of region founded by two parabolas : y^(2)=ax and x^(2...

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  6. Find the area of region founded by two parabolas : y^(2)=9/4x and x^...

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  7. Calculate the area of the region enclosed between the circles : x^2 + ...

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  8. Calculate the area of the region enclosed between the circles : x^2 + ...

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  9. Calculate the area of the region enclosed between the circles: (iii) x...

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  10. Calculate the area of the region enclosed between the circles: (iv) (x...

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  11. (i) Show that the areas under the curves f(x)=cos^2x and f(x)=sin^2x b...

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  12. (ii) Compare the areas under the curves y=cos^2x and y=sin^2x between ...

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  13. (a) (i)Find the area of the circle x^2+y^2=16, which is exterior to th...

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

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  15. (b) Find the area of the region bounded by the circle x^2+y^2=16 and t...

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  16. find the area of region founded by the circle x^(2)+y^(2)=1 and line x...

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  17. Make a rough sketch of the region given below and find its area, using...

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  18. Calculate the area enclosed in the region: (iii) {(x,y):x^2+y^2le16,x^...

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  19. Calculate the area enclosed in the region: (iv) {(x,y):y^2le6ax,x^2+y^...

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  20. Draw the rough sketch and find the area of the region: (i){(x,y):x^2 <...

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