Intersection of Tangents for a Shifted Horizontal Parabola

Rarely Tested

Intersection of Tangents for a Shifted Horizontal Parabola

For tangents at parameters $$t_1,t_2$$ to:

$$(y-k)^2=4a(x-h)$$

their intersection is:

$$(h+at_1t_2,k+a(t_1+t_2))$$

Usage

- Used to find the intersection point of two tangents directly.

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