If a variable point P on an ellipse of eccentricity e lines joining the foci \[{{S}_{1}}\] and \[{{S}_{2}}\] then the in centre of the triangle \[P{{S}_{1}}{{S}_{2}}\] lies on

Another ellipse of eccentricity \[\sqrt{\frac{3+{{e}^{2}}}{4}}\]

If a variable point P on an ellipse of eccentricity e lines joining th

1.	If a variable point P on an ellipse of eccentricity e lines joining the foci \[{{S}_{1}}\] and \[{{S}_{2}}\] then the in centre of the triangle \[P{{S}_{1}}{{S}_{2}}\] lies on
A.	The major axis of the ellipse
B.	The circle with radius e
C.	Another ellipse of eccentricity \[\sqrt{\frac{3+{{e}^{2}}}{4}}\]
D.	None of these
Answer» D. None of these

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If a variable point P on an ellipse of eccentricity e lines joining the foci \[{{S}_{1}}\] and \[{{S}_{2}}\] then the in centre of the triangle \[P{{S}_{1}}{{S}_{2}}\] lies on

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