A point moves such that the sum of the square of the distances from... VIDEO
A point moves such that the sum of the square of the distances from two fixed straight lines intersecting
\( \mathrm{P} \) at angle \( 2 \alpha \) is a constant. Prove that the locus is an ellipse of eccentricity
W \( \frac{\sqrt{\cos 2 \alpha}}{\cos \alpha} \) if \( \alpha\frac{\pi}{4} \) and \( \frac{\sqrt{-\cos 2 \alpha}}{\sin \alpha} \) if \( \alpha\frac{\pi}{4} \)
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