Question

The ratio in which point p(6,-6) divides the join of a(1,4) b(9,-12)

Answer 1

Point p(6,-6) divides the join of a(1,4) b(9,-12) in 3:5 Ratio

Step-by-step explanation:

a = 1 , 4

b = 9 , -12

p = 6 , - 6

ab = √(9 - 1)² + (-12 - 4)² = √8² + (-16)²  = 8√5

pb  = √(9 - 6)² + (-12 - (-6))² = √3² + (-6)²  = 3√5

ap = √(1 - 6)² + (4 - (-6))² = √(-5)² + (10)²  = 5√5

ap : pb  = 3√5 : 5√5

=> ap : pb  = 3 : 5

point p(6,-6) divides the join of a(1,4) b(9,-12) in 3: 5 Ratio