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Find the area of the parabola y^2=4a xb...

Find the area of the parabola `y^2=4a x`bounded by its latus rectum.

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The correct Answer is:
`(8a^(2))/(3)` sq. units.
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NAGEEN PRAKASHAN-APPLICATIONS OF INTEGRALS-Exercise 8a
  1. Find the area of that region bounded by the curve y="cos"x, X-axis, x...

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  2. Find the area of that region of the parabola y^(2)=4ax which lies betw...

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  3. Find the area of the region bounded by the curve y=x^2and the line y ...

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  4. Find the area bounded by the curve y^2=4ax and the lines y=2a and y-ax...

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  5. Find the area of the parabola y^2=4a xbounded by its latus rectum.

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  6. Using integration, find the area of the region bounded by the parabola...

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  7. Find the area enclosed by the parabola 4y=3x^2 and the line2y = 3x + ...

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  8. The area between x=y^2and x = 4is divided into two equal parts by the ...

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  9. Find the area of the region bounded by: the parabola y=x^2 and the li...

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  10. FInd the area bounded by the curves y^2=9xandx^2=9y.

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  11. Using the method of integration find the area of the triangle ABC, ...

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  12. Using integration, find the area of the triangle whose vertices are (1...

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  13. Using integration find the area of the triangular region whose side...

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  14. Find the area of the region {(x,y):0 le y le x^(2)+1,0 le y le x + 1,...

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  15. Find the area of the region bounded by the curves y^(2)=x+1 and y^(2)=...

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

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  17. Find the smaller area enclosed between linex, if y={x, if x >= 0 and ...

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  18. The equation of the common tangent to the parabolas y^2= 4ax and x^2= ...

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  19. Using definite integration, find the area of the smaller region bounde...

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  20. The circle x^(2)+y^(2) =4a^(2) is divided into two parts by the line x...

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