Solution: What is the equation of its locus?

Point P(x, y) moves with a distance from point (0, 1) one-half of its distance from line y = 4. The equation of its locus is?

What is the equation of its locus?

Problem Statement: ECE Board April 1998

Point P(x, y) moves with a distance from point (0, 1) one-half of its distance from line y = 4. What is the equation of its locus?

Problem Answer:

The equation of the locus is 4x^2 + 3y^2 = 12.

Solution:

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