Three Dimensional Geometry: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q2428

JEE Main 202116 Mar, Morning shiftMathematicsMediumThree Dimensional Geometry249× since 2002

Let P be a plane lx + my + nz = 0 containing the line,

{{1 - x} \over 1} = {{y + 4} \over 2} = {{z + 2} \over 3}

. If plane P divides the line segment AB joining points A(

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6, 1) and B(2, 4,

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3) in ratio k : 1 then the value of k is equal to :