A line through (1, -1, 2) with direction ratios meets the plane x+2y+3z=18. What is the point of intersection of line and plane?

NDA 2024 Mathematics question

A line through with direction ratios meets the plane . What is the point of intersection of line and plane?

Answer: (C)

A general point on the line is . Substituting in the plane:

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Question ID VK-029826