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Show that y=mx+c is a tangent to the ell...

Show that `y=mx+c` is a tangent to the ellipse `x^2/a^2+y^2/b^2=1` if `c^2`=`a^2m^2+b^2`

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The line y=x+2 is a tangent to the ellipse x^2/2+y^2/1=1

Show that the line y = mx + c touches the ellips x^2/a^2 + y^2/b^2 = 1 if c^2 = a^2m^2 + b^2 .

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MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-PROBLEM
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