the coordinates of the two points A and B are respectively 4 - 3 and -1 7 find the coordinates of the point c in the line segment a b such that AC ratio c b is equal to 3 ratio 2
Answers
Coordinates of C = (1 , 3) if C divides line AB such that AC : CB = 3 : 2 & A , B are respectively (4 ,- 3) and (-1 , 7)
Step-by-step explanation:
The coordinates of the two points A and B are respectively (4 ,- 3) and (-1 , 7)
point C in the line segment a b such that AC : CB = 3: 2
Coordinates of C = (3(-1) + 2(4)) /(3 + 2) , ( 3(7) + 2(-3)) /(3 + 2)
= ( -3 + 8)/5 , ( 21 - 6)/5
= 5/5 , 15/5
= 1 , 3
A = (4 ,- 3)
C = (1 , 3)
B = ( - 1 , 7)
Verification :
AC = √(-3)² + (6)² = √45 = 3√5
CB = √(-2)² + (4)² = √20 = 2√5
AC / CB = 3/2
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Answer:
3/2
Step-by-step explanation:
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