A) \[(1/2,\,0)\]
B) \[(-1/2,\,\,0)\]
C) (2, 0)
D) \[(0,\,\,0)\]
Correct Answer: B
Solution :
\[y={{e}^{2x}}\] Þ \[\frac{dy}{dx}=2{{e}^{2x}}\] Þ \[\left( \frac{dy}{dx} \right)_{(0,\,1)}^{{}}=2\] \ Equation of tangent is, \[y-1=2(x-0)\Rightarrow y=2x+1\] This tangent meets x-axis, \[\therefore \,\,y=0\] Þ \[0=2x+1\Rightarrow x=-1/2\] \ Co-ordinates of the point \[\left( -\frac{1}{2},\,0 \right)\,\,.\]You need to login to perform this action.
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