The equation of a plane passing through ¯r.(^i+^j+^k)=1 and ¯r.(2^i+^k)=2 can be given by
But we can do it the other way too i.e,
¯r.(λ^n1+^n2)=λd1+d2 which gives,Option C is nothing but ¯r.λ(3^i+2^j+2^k)=3λ
For λ≠0 this can be written as,
λ(¯r.((^i+^j+^k+1(2^i+^k)))=(1+2)λ
Which is a linear combination of 2 planes.
Option d can be arrived easily by substituting λ=0 in r.(n1+λ^n2)=d2+λd2
∴ Answer is a,b,c,d