If the angle between the line 2(x+1) = y = z + 4 and the plane 2x - y + z + 4 = 0 is 6, then the value of λ is

JEE Main 2014 Mathematics question

If the angle between the line and the plane is , then the value of λ is

Answer: (1)

Writing the line as , its direction ratios are (1, 2, 2). The plane's normal is . For the angle between line and plane,

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Question ID VK-104702