1.

If the curve `C`in the `x y`plane has the equation `x^2+x y+y^2=1,`then the fourth power of the greatest distance of a point on `C`from the origin is___.

Answer» Correct Answer - 4
Let `x=rcostheta,y=rsintheta`
`:.r^(2)(1+costheta,sintheta)=1`
or `r^(2)=2/(2+sin2theta)` or `r_(max)^(2)=2`


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