MHT CET 2021 Math Solved Paper

r⋅(2

∧

i

−3

∧

j

+5

∧

k

)+2=0
Equation of plane parallel to the given plane is
−2x+y−3z=λ. . . (i)
Since, plane (i) passes through the point (1,4,−2).
Therefore this point satisfy the given plane. Put x=1,y−4 and z=−2 in Eq. (i)
−2(1)+4−3(−2)=λ
−2+4+6=λ
λ=8
Put λ=8 in Eq. (i), we get
−2x+y−3z=8
2x−y+3z+8=0