The equation of the parabola with focus (a, b) and directrix $\frac{x}{a}+\frac{y}{b}=1$ is given by

Question

Accepted Answer

${{(ax-by)}^{2}}-2{{a}^{3}}x-2{{b}^{3}}y+{{a}^{4}}+{{a}^{2}}{{b}^{2}}+{{b}^{4}}=0$

Answer

${{(ax+by)}^{2}}-2{{a}^{3}}x-2{{b}^{3}}y-{{a}^{4}}+{{a}^{2}}{{b}^{2}}-{{b}^{4}}=0$

Answer

${{(ax-by)}^{2}}+{{a}^{4}}+{{b}^{4}}-2{{a}^{3}}x=0$

Answer

${{(ax-by)}^{2}}-2{{a}^{3}}x=0$

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