JEE Advance - Mathematics (2007 - No. 4)
The tangent to the curve $$y = {e^x}$$ drawn at the point $$\left( {c,{e^c}} \right)$$ intersects the line joining the points $$\left( {c - 1,{e^{c - 1}}} \right)$$ and $$\left( {c + 1,{e^{c + 1}}} \right)$$
on the left of $$x=c$$
on the right of $$x=c$$
at no point
at all points