Conics: Co-ordinate Geometry for IITJEE Mains: Problem solving: Basics 4

Question 1: If the points of the intersection of the ellipses $latex \frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} =1$ and $latex \frac{x^{2}}{\alpha^{2}} + \frac{y^{2}}{\beta^{2}}=1$ are the end point…