JEE Advanced 2017 Mathematics question

MathematicsSolution of TrianglesJEE Advanced 2017

Let be the origin and let be an arbitrary triangle. The point is such that

·+·=·+·=·+·

Then the triangle has as its

Answer: (D)

Solution

Write for the position vectors. The first equality: $Missing argument for \vec\vec p·Missing argument for \vec\vec q+Missing argument for \vec\vec r·Missing argument for \vec\vec s-Missing argument for \vec\vec r·Missing argument for \vec\vec p-Missing argument for \vec\vec q·Missing argument for \vec\vec s=0⇒(Missing argument for \vec\vec p-Missing argument for \vec\vec

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Question ID VK-026683