the ratio in which the point P(6,-6) divides the join of A(1,4) and B(9,-12)is
A 2:3
B 3:2
C 3:5
D 5:3
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Answer: 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
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