Mathematics · Conic Sections
An ellipse x2a2 + y2b2 = 1 with eccentricity 2√23 is inscribed in a circle x2 + y2 = 18 such that the length of its major axis is equal to the diameter of this circle. The locus of the poles of all the tangents of the circle with respect to the ellipse is:
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- 1x2 + y2 = 89
- 2x218 + 9y22 = 1✓
- 3x218 + y29 = 1
- 418x + 2y9 = 1
Correct answer
x218 + 9y22 = 1
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