The locus of the point of intersection of the perpendicular tangents to the ellipse \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{4}=1\] is [Karnataka CET 2003]

The locus of the point of intersection of the perpendicular tangents t

1.	The locus of the point of intersection of the perpendicular tangents to the ellipse \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{4}=1\] is [Karnataka CET 2003]
A.	\[{{x}^{2}}+{{y}^{2}}=9\]
B.	\[{{x}^{2}}+{{y}^{2}}=4\]
C.	\[{{x}^{2}}+{{y}^{2}}=13\]
D.	\[{{x}^{2}}+{{y}^{2}}=5\]
Answer» D. \[{{x}^{2}}+{{y}^{2}}=5\]

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The locus of the point of intersection of the perpendicular tangents to the ellipse \[\frac{{{x}^{2}}}{9}+\frac{{{y}^{2}}}{4}=1\] is [Karnataka CET 2003]

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