If the plane … passes through the intersection of two mutually perpendicular planes … and … and intercepts a unit length on positive …-axis, then the intercept made by the plane … on the …-axis is :

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3d Geometry

JEE Main 2022 · 27 Jul, Morning shift · Q2597

MathematicsMedium249×since 2002Q2597

If the plane

P

passes through the intersection of two mutually perpendicular planes

2 x+k y-5 z=1

and

3 k x-k y+z=5, k<3

and intercepts a unit length on positive

x

-axis, then the intercept made by the plane

P

on the

y

-axis is :