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

3d Geometry

JEE Main 2016 · 10 Apr, Morning shift · Q2375

MathematicsMedium249×since 2002Q2375

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 :