The ratio in which the plane r¯.(i¯−2j¯+3k¯)=17 divides the line joining the points −2i^+4j^+7k^ and 3i^−5j^+8k^ is

Plane is r¯.(i¯−2j¯+3k¯)=17 --(1)A point P dividing the join of −2i¯+4j¯+7k¯ and 3i¯−5j¯+8k¯ in the ratio λ:1 is 3λ−2λ+1i¯+−5λ+4λ+1j¯+8λ+7λ+1k¯  It lies on (1) then we get λ=310⇒λ:1=3:10