Question

if the distance of point p(x,y)from the points A(3,6) & B(-3,4)are equal,prove that 3x+y=5

Answer 1

A(3,6) & B(-3,4)
P(x,y)
$x = \frac{(3) + ( - 3)}{2} \\ x = 0 \\ y = \frac{6 + 4}{2} \\ y = \frac{10}{2} = 5$
x=0
y=5
$3x + y = 5 \\ 3(0) + 5 = 5 \\ 5 = 5$
LHS=RHS
Proved 3x+y=5 (^_^)

Answer 2

here it's proved...this will be fine method I think..