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To solve this problem numerically, we need to find the angle between the curves \( y^2 = ax \) and \( ay^2 = x^2 \) at the points of intersection other than the origin. ### Step 1: Solve for the points of intersection Given the equations of the curves: 1. \( y^2 = ax \) 2. \( ay^2 = x^2 \) From the first equation, solve for \( x \) in terms of \( y \): \[ y^2 = ax \quad \Rightarrow \quad x = \frac{y^2}{a} \] Substitute this into the second equation: \[ ay^2 = \left(\frac{y^2}{a}\right)^2 \quad \Rightarrow \quad ay^2 = \frac{y^4}{a^2} \] Multiply both ________ ___ ________ _____ _________ _________ ______.
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