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Ask community Community Discussion Question: Trace the curve: y^2(x^2-4)=x^4
Reply Forum Index -> Differential Calculus originally posted here on IIT-JEE / AIEEE community   
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Daisy (26)

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Trace the curve: y^2(x^2-4)=x^4
    
Deepak Aggarwal (3759)

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y2(x2 - 4) = x4

or, y2 = x4 / (x2 - 4)

or, y = + x2 / (x2 - 4)1/2

So, for the function to be defined, x2 - 4 > 0

or, x2 >4

or, x>2 and x<-2

Also,

So, you can check in which interval the function increases and decreases.

The graph would be this:


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Daisy (26)

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Trace the curve: y^2(x^2-4)=x^4
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akhil (267)

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 no deepak u r wrong since at x=0 y =0...


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Daisy (26)

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hey i knw hw do trace this curve....deepak u r wrng...and the curve is a cusp passing through the origin, symmetric about x-axis and the x-axis is itself a tangent to the curve...
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mohit gupta (4)

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deepak is right i think........................ curve isn't defined until vaue of x>=4..........i totally agree with deepak

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deepak soni (0)

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rite
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