Points A(2, ‑1) and B(5, 3) are fixed. Find the equation of the locus of a point P(x, y) such that the sum of the squares of its distances to A and B equals twice the square of the distance AB. Then determine the coordinates of the point(s) on this locus that are closest to the origin.

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Accepted Answer

( $(7/2)$ - (35*$sqrt(3))/(2$*sqrt(53)) , 1 - (5*$sqrt(3))/sqrt(53)$ )

Waec Model Questions Vol1 2021 Mathematics Question 30

Points A(2, ‑1) and B(5, 3) are fixed. Find the equation of the locus of a point P(x, y) such that the sum of the squares of its distances to A and B equals twice the square of the distance AB. Then determine the coordinates of the point(s) on this locus that are closest to the origin.

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Waec Model Questions Vol1 2021 Mathematics Question 30

Points A(2, ‑1) and B(5, 3) are fixed. Find the equation of the locus of a point P(x, y) such that the sum of the squares of its distances to A and B equals twice the square of the distance AB. Then determine the coordinates of the point(s) on this locus that are closest to the origin.

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About This Question

Master the Exam!

Points A(2, ‑1) and B(5, 3) are fixed. Find the equation of the locus of a point P(x, y) such that the sum of the squares of its distances to A and B equals twice the square of the distance AB. Then determine the coordinates of the point(s) on this locus that are closest to the origin.