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Find the area of the smaller part of the circle `x^2+y^2=a^2` cut off by the line `x=a/(sqrt(2))`

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To find the area of the smaller part of the circle \(x^2 + y^2 = a^2\) cut off by the line \(x = \frac{a}{\sqrt{2}}\), we can follow these steps: ### Step 1: Understand the Circle and Line The equation of the circle is given by: \[ x^2 + y^2 = a^2 \] This represents a circle centered at the origin (0, 0) with a radius \(a\). ...
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RD SHARMA ENGLISH-APPLICATION OF INTEGRALS-All Questions
  1. Find the area of the region bounded by the curve y=x^2 and the line...

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

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  3. Find the area of the smaller part of the circle x^2+y^2=a^2 cut off...

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  4. Find the area bounded by x=at^2 and y=2 at between the ordinates corre...

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  5. Find the area enclosed by the curve x=3cos t ,y=2sint

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  6. Sketch the region lying in the first quadrant and bounded by y=9x^2...

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  7. Find the area of the region bounded by y=-1,y=2, x=y^3 and x=0.

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  8. Find the area of region bounded by x^2+16y=0 and its latusrectum.

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  9. Find the area of region bounded by the curve a y^2=x^3, the y-axis an...

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  10. Find the area of the region included between the parabolas y^2=4a x...

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  11. Find the area of the region bounded by the curve y=x^3 and the lines y...

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  12. Find the area bounded by the curves y=xa n dy=x^3dot

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  13. Find the area bounded by the curves y=2x-x^2 and the straight line y=-...

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  14. Find the area of the region between the parabola x = y^2 - 6y and the ...

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  15. Find the area of the region bounded by the parabola y=x^2 and y=|x|.

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  16. Determine the area under the curve y=sqrt(a^2-x^2) included between th...

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  17. Find the area of the region bounded by the parabola y^2=2x and stra...

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  18. Find the area of the region bounded by the curves y=x^3 and the lines...

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  19. Using integration, find the area of the region bounded by the line 2y=...

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  20. If the area above x-axis bounded by the curves y=2^(k x)a n dx=0 and ...

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