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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: Area Under The Curve
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kane (2205)

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find the area included b/w the parabolas  y2=4ax and x2=4by?


answer:(16/3)ab sq. units


there are numerous options besides I.I.T

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deedee (2203)

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that's easy u might b knwin d curves of y^2=x andx^2=y


des curves r of similar type ......so first drw them then  find d point of intersection of d curves


u get y =(4)*(a^2*b)^1/3


ohk ..........nw


integral frm 0 to (4)*(a^2*b)^1/3


solvin u get d answer as 16ab/3 sq units


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ashish17 (84)

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For standard parabolas whose axis are perpendicular to each other, there is a shortcut of finding the area.


Area is = (Product of their latus rectum) / 3


Here product of latus rectum is 16ab


hence area=16ab/3


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