Let the equation of plane passing through the line of intersection of the planes x+2 y+a z=2 and x-y+z=3 be 5 x-11 y+b z=6 a-1. For c Z, if the distance of this plane from the point (a,-c, c) is 2/(√(a)), then (a+b)/c is equal to:

Three Dimensional Geometry: JEE Main 2023 Mathematics question

JEE Main 2023 · 13 Apr, Morning shift · Q2608

JEE Main 202313 Apr, Morning shiftMathematicsHardThree Dimensional Geometry249× since 2002

Let the equation of plane passing through the line of intersection of the planes

x+2 y+a z=2

and

x-y+z=3

5 x-11 y+b z=6 a-1

. For

c \in \mathbb{Z}

, if the distance of this plane from the point

(a,-c, c)

\frac{2}{\sqrt{a}}

, then

\frac{a+b}{c}

is equal to :