So, two parabolas are given: $y^2=24x$ and $x^2=3y$ and a point $A(24,3)$. If B and O are intersect points of these two parabolas, prove that the angle ABO is right.
2026-04-24 20:50:33.1777063833
Solve a parabola problem?
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The intersection points of the two parabolas are O$(0,0)$ and B$(6,12)$. Angle ABO is right if $$m_1 =-\frac{1}{m_2}$$ where $m_1= 2$ and $m_2= \frac{3-12}{24-6}=-\frac{1}{2}$. Clearly, the statement is true.