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What is the angle between the curves xy = 2 and y^{2} = 4x at their point of intersection?

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To find angle between 2 curves, find the angle between the tangent drawn in those two curves at the point of their intersection.

Follow these steps:

1. Solve equation 1 and 2 and calculate their point of intersection.

2. Differentiate eq1 and eq2 wrt *y*

3. Find the slopes (*m1* and *m2*) by substituting intersect point from **step 1 **to the slope equation from **step 2**

4. Find the Angle by substituting slope values in Formula *tan(θ)* = (m1-m2)/(1+(m1.m2)) ∀ m1>m2