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If x = aCos^3 θ and y= aSin^3 θ then dy/...

If `x = aCos^3 θ and y= aSin^3 θ then dy/dx=`

Text Solution

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(i) If the graph of `y=f(x)` is as given in the figure, it will not have any asymptote.

(ii) If the graph is as given in the figure, then it will have two asymptotes.

(iii) Since the range is a finite interval , the function must have at least one asymptote.

(iv) For the range to be an infinite interval, it should be non-bounded from at least one side.
So the maximum number of asymptotes is one.
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