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Perpenicular PM and PN are drawn upon th...

Perpenicular PM and PN are drawn upon the coordinates axes OX and OY respectively from the point P( 3,3) situated on the parabola `y^(2) =3x `.Show that ,the ratio of the larger to the smallar of the two areas in which the area PNOM is divided by the are OP of the parabola is 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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