Engineering
Mathematics
Plane and Its Different Forms
Question
The equation of a plane containing the line of intersection of the planes 2x – y – 4 = 0 and y + 2z – 4 = 0 and passing through the point (1, 1, 0) is
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Solution
The required plane is (2x – y – 4) + λ(y +2z – 4) = 0 it passes through (1, 1, 0)
⇒ (2 – 1 – 4) + λ(1 – 4) = 0
⇒ –3 – 3λ = 0 ⇒ λ = – 1
⇒ x – y – z = 0