Correct Answer - C
Let the required ratio be `lamda:1`. Then the position
`((-2hati+4hatj+7hatk)+lamda(3hati-5hatj+8hatk))/(lamda+1)`
`=((3lamda-2)/(lamda+1))hati+((4-5lamda)/(lamda+1))hatj+((8lamda+7)/(lamda+1))hatk`
The point of division lies on the plane
`vecr.(hati-2hatj+3hatk)=17`
`implies((3lamda-2)/(lamda+1))-2((4-5lamda)/(lamda+1))+3((8lamda+7)/(lamda+1))=17`
`=3lamda-2-8+10lamda+24lamda+21=17lamda+17implieslamda=3/10`
Hence the required ratios is `3:10`
