# Are You Eccentric, Angle?

Geometry Level 5

The normal lines to $$4x^2+9y^2=36$$ at $$A(\theta_1)$$, $$B(\theta_2)$$, $$C(\theta_3)$$ and $$D(\theta_4)$$ are concurrent at $$P$$.

Now, the points $$A, \ B, \ C$$ and $$D$$ satisfy the condition $\sum_{i=1}^{4} \cos{\theta_i}-\sin{\theta_i}=0$

The point $$P$$ must lie on

Note : $$\theta_i$$ are the Eccentric Angles of the respective points.

×