Question

Find the ration in which P (4,m) divides the line segment joining the points A (2,3) and B (6,-3). Hence find m

Answer 1

Answer:

the ratio required is 1 : 1 and the value of m is -1/2

Step-by-step explanation:

given that p(4,m) divides the two points in two parts.

therefore according to formula,

p(4,m) = λx2+x1/ λ+1 ,  λy2+y1/ λ+1          ∴ m = λy2+y1/ λ+1  

∴ 4 = 6 λ+2/ λ+1                                       ∴ m = 1 (-3) + 2/ 1 + 1  

∴4 λ+4 = 6 λ+2                                         ∴ 2m = -1

∴ λ= 1/1                                                       ∴ m= -1/2    

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