JEE Main 2022 Mathematics question
The plane passing through the line L : , x + 2y − z = 2 and perpendicular to the plane 3x + 2y + z = 6 is 3x − 8y + 7z = 4. If is the acute angle between the line L and the y-axis, then is equal to .
Answer: 125
Solution
The line L has direction , −1, , 2, −1) = (, , ). The plane 3x − 8y + 7z = 4 contains L, so its normal is perpendicular to the direction: \ell$ - 5)
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