Question

If the point P (x, y) is equidistant from the points A (6, 1) and B(1, 6), find the relation between x and y. 10​

Answer 1

Question❓

➡️ If the point P (x, y) is equidistant from the points A (6, 1) and B(1, 6), find the relation between x and y. 10

Answer✔

➡️ Solve P(x,y) is equidistant from A(6,−1) and B(2,3), then

PA=PB

or PA

2

=PB

2

(6−x)

2

+(−1−y)

2

=(2−x)

2

+(3−y)

2

(36+x

2

−12x)+(1+y

2

+2y)=(4+x

2

−4x+9+y

2

−6y)

37−12x+2y=13−4x−6y

8x=8y+24

x−y=3

Hence proved.

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