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MHT CET 2026 Mathematics question

MathematicsVector AlgebraMHT CET 2026

If , and are the position vectors of the vertices A, B and C respectively of . Then the position vector of the point where the bisector of the angle A meets side BC is

Answer: (B)

Solution

, , . Side lengths from : and . By the angle bisector theorem the bisector from meets at with BD:DC=AB:AC=3\sqrt2:6=1:\sqrt2. By the section formula, $Missing argument for \bar\bar d=Missing argument for \dfrac\dfrac{Missing argument for \sqrt\sqrt2 Missing argument for \bar\bar b+1ยทMissing argument for \bar\bar

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Question ID VK-096276