If the area bounded by \[y=a{{x}^{2}}\]and \[x=a{{y}^{2}}\], \[a>0\], is 1, then \[a=\] [IIT Screening 2004]

If the area bounded by \[y=a{{x}^{2}}\]and \[x=a{{y}^{2}}\], \[a>0\],

1.	If the area bounded by \[y=a{{x}^{2}}\]and \[x=a{{y}^{2}}\], \[a>0\], is 1, then \[a=\] [IIT Screening 2004]
A.	1
B.	\[\frac{1}{\sqrt{3}}\]
C.	\[\frac{1}{3}\]
D.	None of these
Answer» C. \[\frac{1}{3}\]

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If the area bounded by \[y=a{{x}^{2}}\]and \[x=a{{y}^{2}}\], \[a>0\], is 1, then \[a=\] [IIT Screening 2004]

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