JEE Main Math Class 12 Three Dimensional Geometry Part 2 Questions

Given, equation of planes
r.(

^

i

+

^

j

+

^

k

)=1 ...(i)
r.(2

^

i

+3

^

j

−

^

k

)+4=0 ...(ii)
Equation of plane passing through the intersection of the planes Eqs. (i) and (ii) is given by
(x + y + z − 1) + λ(2x + 3y – z + 4) = 0
or (1 + 2λ)x + (1 + 3λ)y + (1 − λ)z + (− 1 + 4λ) = 0 ...(iii)
Plane (iii) in parallel to X-axis
1 + 2λ = 0 [Coefficient of x = 0]
⇒λ=

−1

2

∴ From Eq. (iii) becomes
y − 3z + 6 = 0
or r.(

^

j

−3

^

k

)+6=0