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If the area bounded by the parabola y^(2...

If the area bounded by the parabola` y^(2) =4ax ` and its double ordinate `x=h` is two times the area bounded by its latus rectum prove that `h: a , =2^((3)/(2)) : 1.`

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CHHAYA PUBLICATION-DEFINITE INTEGRAL AS AN AREA-Long Answer type Questions
  1. Find the common area between the parabolas y^(2) =4ax and x^(2) =4by

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  2. Determine the area enclosed between the parabola x^(2)=8y and the str...

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  3. Find the area of the region { (x,y):x^(2) +y^(2) lt 1lt x +y} (ii)...

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  4. Find the area included between the parabolas y^(2) =16x and the line ...

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  5. Show that,the area bounded between y=x^(3) and y=4x in the first quad...

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  6. Find the area in the first quadrant bounded by the circle x^(2) +y^(2)...

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  7. Find the area of the smaller part into which the circle x^(2) +y^(2) ...

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  8. The straight line bx+ ay =ab divides the ellipse b^(2) x^(2) +a^(2)...

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  9. If the area bounded by the parabola y^(2) =4ax and its double ordinat...

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  10. The area bounded in the first quadrant by the rectangular hyperbola xy...

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  11. Prove that the curves y^(2) =4ax and x^(2) =4ay divide the square bou...

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  12. Perpenicular PM and PN are drawn upon the coordinates axes OX and OY r...

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  13. IF A be the area bounded by the x-axis and one are of the curve y= aco...

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  14. Using integration find the area the area bounded by the lines y= 4x+5...

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  15. Show that ,the area of the coodinates axes is (a^(2))/( 6) square uni...

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  16. The area between x = y^(2) and x = 4 is divided into two equal parts b...

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

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  18. The area bounded by the curve y = x^(3), x-axis and the ordinates: x =...

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  19. A function y =f(x) is defined as follow: " " y= f(x) ={ (x...

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  20. Find by integration the area of the triangle formed by the x-axis and...

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