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Which of the following points lies on the locus of the foot of perpendicular drawn upon
$any tangent to the ellipse \frac{x^{2}}{4} + \frac{y^{2}}{2} = 1 from any of its foci?$

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1, 2

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detailed solution

Correct option is D

Question is the definition of Auxiliary circle Hence the auxiliary circle of x24+y22=1 is x2+y2=4 satisfies (-1,3)

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Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse x24+y22=1 from any of its foci?

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Which of the following points lies on the locus of the foot of perpendicular drawn upon
$any tangent to the ellipse \frac{x^{2}}{4} + \frac{y^{2}}{2} = 1 from any of its foci?$