1.

Find the ratio in which the join of the points `P(2,-1,3) and Q( 4,3,1)` is divided by the point `((20)/(7),(5)/(7),(15)/(7))`

Answer» Let he required ratio be `lambda:1` . Then , the coordinates of R are
`((4lambda+2)/(lambda+1),(3lamda-1)/(lambda+1),(lambda+3)/(lambda+1))`
But, the coordinates or R are `((20)/(7),(5)/(7),(15)/(7))`
`:. (4lambda+2)/(lambda+1)=(20)/(7) or lambda=(3)/(4)`
So, the required ratio is `(3)/(4) :1`, i.e., 3:4 .


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