Which of the following points lie on the locus of foot of perpendicular drawn upon any tangent to the ellipse \frac{x^2}{4}+\frac{y^2}{2}=1 from any of it's foci?
 
Option: 1 (1,2)
Option: 2 (-2,\sqrt{3})
Option: 3 (-1,\sqrt{2})
Option: 4 (-1,\sqrt{3})

Answers (1)

\frac{x^{2}}{4}+\frac{y^{2}}{2}=1

required locus

using the property of the ellipse

x^2+y^2=4

Correct Answer: Option D

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