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JEE Advanced Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced

If the direction cosines of the line joining the origin and a point at unit distance from the origin are then the point has coordinates

Answer: (A)

Solution

For direction cosines, :

Missing argument for \frac\frac13 + Missing argument for \frac\frac14 + λ^2 = 1 ⇒ λ^2 = ⇒ λ = ± = ±.

A point at distance from along a line with direction cosines is . Here , and

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Question ID VK-109798