Correct Answer - Option 3 : 2x - 5y - 7z + 9 = 0
The equation of a plane parallel to the given plane is →
2x – 5y – 7z + λ = 0 …i)
The plane will pass through the (2, -3, 4) if
2 × 2 – 5 × (-3) – 7 × 4 + λ = 0
⇒ 4 + 15 – 28 + λ = 0
⇒ λ = 28 – 19 = 9
Pulting the value of λ = 9 in eqn. i) we get →
2x – 5y – 7z + 9 = 0
