Let the plane containing the line of intersection of the planes P₁: x+(λ+4)y+z=1 and P₂: 2x+y+z=2 pass through the points (0, 1, 0) and (1, 0, 1). Then the distance of the point (2 λ,λ,-λ) from the plane P₂ is:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 24 Jan, Evening shift · Q2463

JEE Main 202324 Jan, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let the plane containing the line of intersection of the planes P₁ :

x+(\lambda+4)y+z=1

and P₂ :

2x+y+z=2

pass through the points (0, 1, 0) and (1, 0, 1). Then the distance of the point (2

\lambda,\lambda,-\lambda

) from the plane P₂ is :