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If tangents are drawn to the ellipse x 2 + 2y 2 = 2 at all points on the ellipse other than its four vertices then the mid points of the tangents intercepted between the coordinate axes lie on the curve :

1. 1 4 y 2 x 2 2 = +
2. 1 y 4 1 x 2 1 2 2 = +
3. 1 y 2 1 x 4 1 2 2 = +
4. 1 2 y 4 x 2 2 = +

Correct answer: 1 y 4 1 x 2 1 2 2 = +

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