A point on the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] at a distance equal to the mean of the lengths of the semi-major axis and semi-minor axis from the centre is

\[\left( \frac{2\sqrt{91}}{7}-\frac{3\sqrt{105}}{14} \right)\]

\[\left( \frac{2\sqrt{91}}{7},\frac{3\sqrt{105}}{14} \right)\]

\[\left( \frac{2\sqrt{105}}{7},\frac{3\sqrt{91}}{14} \right)\]

\[\left( -\frac{2\sqrt{105}}{7}-\frac{3\sqrt{91}}{14} \right)\]

A point on the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\]

1.	A point on the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] at a distance equal to the mean of the lengths of the semi-major axis and semi-minor axis from the centre is
A.	\[\left( \frac{2\sqrt{91}}{7},\frac{3\sqrt{105}}{14} \right)\]
B.	\[\left( \frac{2\sqrt{91}}{7}-\frac{3\sqrt{105}}{14} \right)\]
C.	\[\left( \frac{2\sqrt{105}}{7},\frac{3\sqrt{91}}{14} \right)\]
D.	\[\left( -\frac{2\sqrt{105}}{7}-\frac{3\sqrt{91}}{14} \right)\]
Answer» B. \[\left( \frac{2\sqrt{91}}{7}-\frac{3\sqrt{105}}{14} \right)\]

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A point on the ellipse \[\frac{{{x}^{2}}}{16}+\frac{{{y}^{2}}}{9}=1\] at a distance equal to the mean of the lengths of the semi-major axis and semi-minor axis from the centre is

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