If the line of intersection of the planes a x+b y=3 and a x+b y+c z=0, a >0 makes an angle 30^(°) with the plane y-z+2=0, then the direction cosines of the line are:

(B) 1/(√(2)), ± 1/(√(2)), 0

Three Dimensional Geometry: JEE Main 2022 Mathematics question

JEE Main 2022 · 27 Jul, Evening shift · Q2450

JEE Main 202227 Jul, Evening shiftMathematicsMediumThree Dimensional Geometry249× since 2002

If the line of intersection of the planes

a x+b y=3

and

a x+b y+c z=0

, a

>0

makes an angle

30^{\circ}

with the plane

y-z+2=0

, then the direction cosines of the line are :