It is known that the center of the ellipse is at the origin, the focus is on the y-axis, the focal length is 4, and the eccentricity is 2 / 3. Suppose that the focus of the ellipse on the positive half axis of the y-axis is m, and a and B are on the ellipse And the vector AB = 2, the vector MB, find the linear equation where the line AB is

It is known that the center of the ellipse is at the origin, the focus is on the y-axis, the focal length is 4, and the eccentricity is 2 / 3. Suppose that the focus of the ellipse on the positive half axis of the y-axis is m, and a and B are on the ellipse And the vector AB = 2, the vector MB, find the linear equation where the line AB is


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It is known that the center of the ellipse C is at the origin, the focus is on the y-axis, the focal length is 2 √ 3, and it passes through the point m (- √ 13 / 4, √ 3 / 2)
1. Find the equation of ellipse C


Focus 2 * root 3, so C = root 3, let the equation y ^ 2 / A ^ 2 + x ^ 2 / b ^ 2 = 1, bring m point in, and have a ^ 2-B ^ 2 = C ^ 2 = 3, after simultaneous solution, a = 2, B = 1