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Find the area of the region {(x,y):y^2<=...

Find the area of the region `{(x,y):y^2<=4x, 4x^2+4y^2<=9}`

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The correct Answer is:
`[(sqrt(2))/(6)+(9pi)/(8)-(9)/(4)sin^(-1)((1)/(3))]` sq. units
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CBSE COMPLEMENTARY MATERIAL-APPLICATIONS OF INTEGRALS -FOUR/SIX MARK QUESTIONS
  1. Find the area of the region {(x,y) : x^2 le y le x }

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  2. Find the area of the region in the first quadrant enclosed by the x-a...

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  3. Find the area of the region {(x,y):y^2<=4x, 4x^2+4y^2<=9}

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  4. Prove that the curve y = x^(2) and, x=y^(2) divide the square bounded ...

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

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  6. Find the area of the region bounded by the curves x^(2)+y^(2)=4 and (x...

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  7. Using the method of integration find the area of the region bounded b...

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  8. Using integration, find the area of the triangle whose vertices are (-...

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  9. The area of the region {(x,y):x^(2)+y^(2) le 1 le x+y} , is

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  10. Find the area of the region bounded by the parabola "x"^2=4"y\ " an...

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  11. Find the area lying above x-axis and included between the circle x^2+...

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  12. Using integration, find the area enclosed by the curve y = cos, y = si...

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  13. Using integration find area of the region bounded by the curves y=sqrt...

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  14. Show that the area of the triangle formed by the pósitive x-axis and t...

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  15. Using integration, find the area of the region bounded by the line ...

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  16. The area of the region bounded by the curve ay^(2)=x^(3), the Y-axis a...

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  17. Find the area bounded by x - axis, the curve y = 2x^(2) and tangent to...

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  18. Using integration, find the area of the region bounded by the curve y=...

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  19. Draw a rough sketch of the region {(x,y) : y^(2)le 6 a x and x^(2)+y^(...

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  20. Find the area of the region enclosed between curves y = |x-1| and y=3-...

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