Question

Find the ratio in which the pt.(3,-4) divides the join of line segment (4,-5) and (-1/2,-1/2)

Answer 1

Answer:

m/n=2/7

Step-by-step explanation:

P(3,-4) divides line segment AB

let A(4,-5) and B(-1/2,-1/2)

• P(p,q)=[(mx₂+nx₁)/m+n],[(my₂+ny₁)/m+n]

• (3,-4)=[(m*-1/2+n*4)/m+n],[(m*-1/2+n*-5)/m+n]

               for p                                       for q

• 3= (-1/2m+4n)/m+n              4= (-1/2m-5n)/m+n
• 3m+3n= -1/2m+4n               4m+4n=-1/2m-5n
• 3m+1/2m=4n-3n                  4m+1/2m= -5n-4n
• 7/2m=n                                9/2m=-9n
• 7/2m=n                                -1/2m=n
• m/n=2/7                                m/n= -2/1

ratios cannot be negative, therefore m/n=2/7.

Answer 2

Answer:

Hope it works...................................™✌️✌️