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The curve y=2e^(2x) intersect the y-axis...

The curve `y=2e^(2x)` intersect the `y`-axis at an angle `cot^(-1)|(8n-4)/3|` then the positive value of `n` is

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The correct Answer is:
2
`y=2e^(2x)` intersect `y` axis at `(0,2)`
`(dy)/(dx)=4e^(2x):.(dy)/(dx):|_("at"x=0)=4`
`:.` Angle of intersection with `y`-axis `=(pi)/2-tan^(-1)4=cot^(-1)4`
`:.n=2,-1`
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