The plane passing through the line L: l x-y+3(1-l) z=1, x+2 y-z=2 and perpendicular to the plane 3 x+2 y+z=6 is 3 x-8 y+7 z=4. If \theta is the acute angle between the line L and the y-axis, then 415 \cos ^2 \theta is equal to ________. [26-Jul-2022-Shift-2]

Three Dimensional Geometry Part 2

Section: Mathematics

Question : 3 of 100

Marks: +1, -0

The plane passing through the line L:lx−y+3(1−l)z=1,x+2y−z=2 and perpendicular to the plane 3x+2y+z=6 is 3x−8y+7z=4. If θ is the acute angle between the line L and the y-axis, then 415cos2θ is equal to ________.

[26-Jul-2022-Shift-2]

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