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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

A line with positive direction cosines passes through the point and makes equal angles with the coordinate axes. The line meets the plane at point . The length of the line segment equals

Answer: (C)

Solution

Equal angles with positive d.c.'s: . A point at distance from along the line is \tfrac{r}{\sqrt3}\tfrac{r}{\sqrt3}$,\

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Question ID VK-110719