The equation of an ellipse whose focus (?1, 1), whose directrix is \[x-y+3=0\] and whose eccentricity is \[\frac{1}{2}\], is given by [MP PET 1993]

\[7{{x}^{2}}-2xy+7{{y}^{2}}-10x+10y+7=0\]

\[7{{x}^{2}}+2xy+7{{y}^{2}}+10x-10y+7=0\]

\[7{{x}^{2}}-2xy+7{{y}^{2}}-10x-10y-7=0\]

\[7{{x}^{2}}-2xy+7{{y}^{2}}+10x+10y-7=0\]

The equation of an ellipse whose focus (?1, 1), whose directrix is \[x

1.	The equation of an ellipse whose focus (?1, 1), whose directrix is \[x-y+3=0\] and whose eccentricity is \[\frac{1}{2}\], is given by [MP PET 1993]
A.	\[7{{x}^{2}}+2xy+7{{y}^{2}}+10x-10y+7=0\]
B.	\[7{{x}^{2}}-2xy+7{{y}^{2}}-10x+10y+7=0\]
C.	\[7{{x}^{2}}-2xy+7{{y}^{2}}-10x-10y-7=0\]
D.	\[7{{x}^{2}}-2xy+7{{y}^{2}}+10x+10y-7=0\]
Answer» B. \[7{{x}^{2}}-2xy+7{{y}^{2}}-10x+10y+7=0\]

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The equation of an ellipse whose focus (?1, 1), whose directrix is \[x-y+3=0\] and whose eccentricity is \[\frac{1}{2}\], is given by [MP PET 1993]

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