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Let P be a point on the ellipse 2 x 9 + 2 y 4 = 1. Let the line passing through P and parallel to y-axis meet the circle x 2 + y 2 = 9 at point Q such that P and Q are on the same side of the x-axis. Then, the eccentricity of the locus of the point R on PQ such that PR : RQ = 4 : 3 as P moves on the ellipse, is :

1. 139 23
2. 13 7
3. 11 19
4. 13 21

Correct answer: 13 7

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