JEE Advanced 2020 Mathematics question

MathematicsStraight LinesJEE Advanced 2020

Let and be the following straight lines.

: = = and : = = .

Suppose the straight line

L: = =

lies in the plane containing and , and passes through the point of intersection of and . If the line bisects the acute angle between the lines and , then which of the following statements is/are TRUE?

Answer: (A),(B)

Solution

Both lines pass through , which is their point of intersection. Direction vectors: , , each of length . , so the angle between these two vectors is acute and the bisector of the acute angle is along $Missing argument for \vec\vec +Missing argument for \vec\vec

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Question ID VK-033778