Tangent lines for an ellipse Show that an equation of the line tangent to the ellipse x2/a2 + y2/b2 = 1 at the point (x0, y0) is .

Solution 77EStep 1:

To find the tangent line at a point, first we need to find the slope() at the point.

Differentiating with respect to x to obtain , we get

Using the above result, the slope(m) at point is