Two tangent are drawn from the point `(-2,-1)` to parabola `y^2=4xdot` if `alpha` is the angle between these tangents, then find the value of `tanalphadot`

Explanation

To solve the problem of finding \( \tan \alpha \) where \( \alpha \) is the angle between the two tangents drawn from the point \((-2, -1)\) to the parabola \( y^2 = 4x \), we can follow these steps:

### Step 1: Identify the parabola and the point
The given parabola is \( y^2 = 4x \). The point from which the tangents are drawn is \( (-2, -1) \).

### Step 2: Write the equation of the tangent in slope form
The general equation of the tangent to the parabola \( y^2 = 4ax \) in slope form is given by:
\[
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