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
`implies (2a+3b)/(5)=c`
`implies (2a+3b)/(2+3)=c`
`implies (a+(3)/(2)b)/(1+(3)/(2))=c"...(i)"`
Let c divides AB in the ratio `LAMBDA : 1`.
Then, `c=(a+lambdab)/(1+lambda)"... (ii)"`
On comparing Eqs. (i) and (ii), we get `lambda = (3)/(2)`
So, required ratio is 3 : 2 internally.


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