A point moves such that the sum of its distances from two fixed points (ae,0) and (-ae,0) is always 2a. Then equation of its locus is [MNR 1981]

\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1\]

\[\]\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1\]

\[\frac{{{x}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}+\frac{{{y}^{2}}}{{{a}^{2}}}=1\]

A point moves such that the sum of its distances from two fixed points

1.	A point moves such that the sum of its distances from two fixed points (ae,0) and (-ae,0) is always 2a. Then equation of its locus is [MNR 1981]
A.	\[\]\[\frac{{{x}^{2}}}{{{a}^{2}}}+\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1\]
B.	\[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1\]
C.	\[\frac{{{x}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}+\frac{{{y}^{2}}}{{{a}^{2}}}=1\]
D.	None of these
Answer» B. \[\frac{{{x}^{2}}}{{{a}^{2}}}-\frac{{{y}^{2}}}{{{a}^{2}}(1-{{e}^{2}})}=1\]

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A point moves such that the sum of its distances from two fixed points (ae,0) and (-ae,0) is always 2a. Then equation of its locus is [MNR 1981]

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