JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

If the coordinates of the vertices of a triangle are rational numbers then which of the following points of the triangle will always have rational coordinates?

Answer: (A),(C),(D)

Solution

Let have rational coordinates. - **(a) Centroid** — sums and quotients of rationals are rational. ✔ - **(b) Incentre** uses the side lengths

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Question ID VK-108828