Question

dados A (m, -1), B (2, 3) e C (-1, -1), determine o valor de M de modo que B seja equidistante de A e C

Answer 1

A (m , 1)...............A (m, 1)
B ( 2, 3)...............C( -1, -1)
AB......................=.......AC
√(m-2)²+(1-3)² = √(m+1)²+(1+1)² => xô raiz
(m-2)²+(1-3)² = (m+1)²+(1+1)²
m²-4m+4 + 4 = m²+2m+1 +4
-4m-2m = 5 -8
-6m = -3
m = -3/-6= 3/6 = 1/2 ✓

Answer 2

A (m , 1)...............A (m, 1)
B ( 2, 3)...............C( -1, -1)
AB......................=.......AC
√(m-2)²+(1-3)² = √(m+1)²+(1+1)² => xô raiz
(m-2)²+(1-3)² = (m+1)²+(1+1)²
m²-4m+4 + 4 = m²+2m+1 +4
-4m-2m = 5 -8
-6m = -3
m = -3/-6= 3/6 = 1/2 ✓