Locus fun

Geometry Level 3

Find the locus of this point of intersection of the straight lines t x − 2 y − 3 t = 0 tx-2y-3t=0 and x − 2 t y + 3 = 0 x-2ty+3=0 , ( t ∈ R ) (t\in \mathbb{R}) .

An ellipse with length of major axis 6 A hyperbola with eccentricity 5 \sqrt{5} An ellipse with eccentricity 2 5 \frac{2}{\sqrt{5}} A hyperbola with length of conjugate axis 3

Akshat Sharda by Akshat Sharda , 21, India

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