Given that the center of the ellipse t is at the origin, the focus is on the X axis, the eccentricity is √ 3 / 2, and passes through the focus F of the parabola C: X & # 178; = 4Y, the equation of the ellipse t is solved

Given that the center of the ellipse t is at the origin, the focus is on the X axis, the eccentricity is √ 3 / 2, and passes through the focus F of the parabola C: X & # 178; = 4Y, the equation of the ellipse t is solved

The focus f (0,1) of parabola X & # 178; = 4Y;
So the short half axis of ellipse B = 1;
E & # 178; = C & # 178; / A & # 178; = (A & # 178; - 1) / A & # 178; = 3 / 4, so a & # 178; = 4;
So the elliptic t equation is X & # 178 / 4 + Y & # 178; = 1