Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4, 3) and (6, 2).

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Solution

Since the major axis is on the x-axis, the equation of the ellipse will be of the form

The ellipse passes through points (4, 3) and (6, 2). Hence,

On solving equations (2) and (3), we obtain a² = 52 and b² = 13.

Thus, the equation of the ellipse is.

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Find the equation for the ellipse that satisfies the given conditions: Major axis on the x-axis and passes through the points (4, 3) and (6, 2).

Since the major axis is on the x-axis, the equation of the ellipse will be of the form The ellipse passes through points (4, 3) and (6, 2). Hence, On solving equations (2) and (3), we obtain a2 = 52 and b2 = 13. Thus, the equation of the ellipse is.

Since the major axis is on the x-axis, the equation of the ellipse will be of the form

The ellipse passes through points (4, 3) and (6, 2). Hence,

On solving equations (2) and (3), we obtain a² = 52 and b² = 13.

Thus, the equation of the ellipse is.