Let be an ellipse and let F₁ and F₂ be its two foci. Let P be a point on the circumference of the ellipse that is neither on the major axis nor on the minor axis. Let P F₁ intersect again at Q( P) and let P F₂ intersect again at R( P) . Then

Options

1. Athe perimeters of the triangles P F₁ R and P F₂ Q are equal.
2. Bthe area of the triangles P F₁ R and P F₂ Q are equal if and only if F₁ F₂ is parallel to Q R .
3. Cthe perimeters of the triangles P F₁ R and P F₂ Q are bisected by F₁ F₂ .
4. Dthe two lines F₁ F₂ and Q R are always parallel.