The locus of the middle point of the intercept of the tangents drawn f – McqOptions

MCQOPTIONS

1.	The locus of the middle point of the intercept of the tangents drawn from an external point to the ellipse \[{{x}^{2}}+2{{y}^{2}}=2\] between the co-ordinates axes, is [IIT Screening 2004]
A.	\[\frac{1}{{{x}^{2}}}+\frac{1}{2{{y}^{2}}}=1\]
B.	\[\frac{1}{4{{x}^{2}}}+\frac{1}{2{{y}^{2}}}=1\]
C.	\[\frac{1}{2{{x}^{2}}}+\frac{1}{4{{y}^{2}}}=1\]
D.	\[\frac{1}{2{{x}^{2}}}+\frac{1}{{{y}^{2}}}=1\]
Answer» D. \[\frac{1}{2{{x}^{2}}}+\frac{1}{{{y}^{2}}}=1\]

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