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Homework Statement
Find the points on the ellipse x^2/100 + y^2/49 = 1 that have tangents that pass through the point P(2, 7.7)
Homework Equations
The Attempt at a Solution
I calculated the gradient of the ellipse which came to dy/dx = -49x/100y
I then calculated the gradient of the tangent that passes through the point P(x,y) on the ellipse as dy/dx = 7.7-y/2-x
I then attempted to make these two equations equal to each other -49x/100y = 7.7-y/2-x and use the equation of the ellipse ie. rearrange for x and substitute but it doesn't seem to be getting anywhere