Mathematics · Coordinate Geometry
Let x2a2 + y2b2 = 1 (b > a) be an ellipse with eccentricity 1√2. If the angle of intersection between this ellipse and the parabola y2 = 4ax is θ, then what are the coordinates of the point on the ellipse where the eccentric angle is 2θ3?
- 1( √3a2, 3√3a√2 )
- 2( a2, √3a√2 )✓
- 3( a2, a2 )
- 4( a2, 3a2 )
Correct answer
( a2, √3a√2 )
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