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Find the equation of the curve whose par...

Find the equation of the curve whose parametric equation are `x=1+4costheta,y=2+3sintheta,theta in Rdot`

Text Solution

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We have, `x=1+4 cos theta, y=2+3 sin theta`. Therefore , `((x-1)/(4))^(2)+((y-2)/(3))^(2)=1`
or `((x-1))/(16)+((y-2)^(2))/(9)=1` which is an ellipse.
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