If the angle between the line x= y-1 2 = z-3 and the plane x+2y+3z=4 is ^ -1 5 14 , then the value of is

MHT CET 2025 Mathematics question

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

Answer: (C)

The line has direction ratios and the plane has normal . The angle between a line and a plane satisfies . Given , we get . Hence

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Question ID VK-102106