JEE Main 2024 Mathematics question

MathematicsSolution of TrianglesJEE Main 2024

Not in JEE syllabus

The position vectors of the vertices A, B and C of a triangle are , , and , respectively. Let ℓ denotes the length of the angle bisector AD of ∠BAC where D is on the line segment BC. Then 2ℓ² equals:

Answer: (C)

Solution

and , both of length 5. The bisector divides BC in the ratio AB : AC = 1 :

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Question ID VK-016636