Find equation of curve $2 x^{2} + y^{2} - 3 x + 5 y - 8 = 0$ when origin is transfered to the point $(- 1, 2)$ without changing the direction of axis.

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Solution

$\begin{matrix} 2 {(x - 1)}^{2} + {(y + 2)}^{2} - 3 (x - 1) + 5 (y + 2) - 8 = 0 2 x^{2} + y^{2} - 7 x + 94 + 11 = 0 I t s a n e q u a t i o n o f e l l i p s e \end{matrix}$

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