Parabola chords

Geometry Level pending

If two chords are drawn from the point ( 4 , 4 ) (4,4) to the parabola x 2 = 4 y x^{2}=4y are divided by the line y = m x y=mx in the ratio 1 : 2 1:2 , then which of the following is true?

m > 3 − 1 only m > \sqrt3 - 1 \text{ only} m < − 3 or m > 3 m < -\sqrt3 \text{ or }m > \sqrt3 m < − 3 − 1 or m > 3 − 1 m < -\sqrt3 - 1 \text{ or } m > \sqrt3 - 1 m < − 3 only m < -\sqrt3 \text{ only}

Kartik Kulkarni by Kartik Kulkarni , 18, India

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