Question

IUlSLd LalIlt Om the point (x, y), prove that x + 3y = 0. 6. If Px, y) is a point equidistant from the points A(6,-1) and B(2, 3), show that x - y = 3.​

Answer 1

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.