ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C(λ, 5, μ). If the median through A is equally inclined to the coordinate axes, then the value of (λ ³ + μ ³ + 5) is:

Three Dimensional Geometry: JEE Main 2016 Mathematics question

JEE Main 2016 · 10 Apr, Morning shift · Q2375

JEE Main 201610 Apr, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

ABC is a triangle in a plane with vertices A(2, 3, 5), B(−1, 3, 2) and C(

\lambda

, 5,

\mu

). If the median through A is equally inclined to the coordinate axes, then the value of (

\lambda

³ +

\mu

³ + 5) is :