MHT CET 2024 Mathematics question

MathematicsThree Dimensional GeometryMHT CET 2024

Let P (2,3,6) be a point in space and Q be a point on the line . Then the value of for which vector PQ is parallel to the plane is

Answer: (C)

Solution

A point Q on the line is . Vector PQ is parallel to the plane exactly when it is perpendicular to the plane's normal , i.e. . The line's direction contributes per unit of , so the

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Question ID VK-093112