A) on the left of \[x=c\]
B) on the right of c
C) at not point
D) at all points
Correct Answer: A
Solution :
Slope of line joining the points \[(c-1,{{e}^{c-1}})\]and \[(c+1,{{e}^{c+1}})\] is equal to \[\frac{{{e}^{c+1}}-{{e}^{c-1}}}{2}>{{e}^{c}}\] |
\[\Rightarrow \]tangent to the curve \[y={{e}^{x}}\]will intersect the given line to the left of the line x = c. |
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