solution - equation of curve is y=\\\\(e^{2x}\\\\)tangent to the curve is \\\\(\\frac{dy}{dx}=2e^{2x}\\\\)\\\\((\\frac{de^{x}}{dx}=e^{x})\\\\)At points (0,1), the tangent is \\\\((\\frac{dy}{dx})_{(0,1)}=2e^{2(0)}\\\\)\\\\((\\frac{dy}{dx})_{(0,1)}=2e^{0}\\\\) \\\\([e^{0}=1]\\\\)\\\\(\\frac{dy}{dx}_{0,1}=2\\\\)when the slope is 2, and solve the tangent meets y axis the coordinate is 0,Hence the tangent meets the x axis at (2,0)