1.

If 2a+3b-5c=0, then ratio in which c divides AB is

Answer»

`3 : 2` internally
`3 : 2` externally
`2 : 3` internally
`2 : 3` externally

Solution :GIVEN, `2a+3b-5c=-0`
`rArr""(2a+3b)/5=c`
`rArr""(2a+3b)/(2+3)=c`
`rArr""(a+3/2b)/(1+3/2)=c"...(1)"`
Let c divides AB in the ratio `lamda:1`
`"Then,"c=(a+lamdab)/(1+lamda)"…(ii)"`
On comparing (i) and (ii), we GET `lamda=3/2`
`:.""` REQUIRED ratio is 3 : 2 internally.


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