Let λ,2,1 be a point on the plane which passes through the point 4,−2,2 . If the plane is perpendicular to the line joining the points  −2,−21,29 and  -1,-16,23 then λ112−4λ11−4 is equal to ________

Direction ratios of the normal to the plane are    −1+2,−16+21,23−29=1,5,−6                     Equation of plane is 1x−4+5y+2−6z−2=0            This is passing through the point λ,2,1λ−4+52+2−61−2=0⇒λ=−22 Consider λ112−4λ11−4=4+8−4=8