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 : [27-Jul-2022-Shift-2]

Correct Answer is : 1√2,±1√2,0

\frac{1}\sqrt{2}, \frac{1}\sqrt{2}, 0

\frac{1}\sqrt{2}, \pm \frac{1}\sqrt{2}, 0

\frac{1}\sqrt{5},-\frac{2}\sqrt{5}, 0

\frac{1}{2},-\frac\sqrt{3}{2}, 0

JEE Mains 27-July-2022 Shift 2 Solved Paper

Section: Mathematics

Question : 15 of 90

Marks: +1, -0

If the line of intersection of the planes ax+by=3 and ax+by+cz=0,a>0 makes an angle 30∘ with the plane y−z+2=0, then the direction cosines of the line are :

[27-Jul-2022-Shift-2]

‌
1
√2
,‌
1
√2
,0
‌
1
√2
,±‌
1
√2
,0
‌
1
√5
,−‌
2
√5
,0
‌
1
2
,−‌
√3
2
,0

Validate

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