JEE Main 2025 Mathematics question

MathematicsStraight LinesJEE Main 2025

A rod of length eight units moves such that its ends A and B always lie on the lines x – y + 2 = 0 and y + 2 = 0, respectively. If the locus of the point P, that divides the rod AB internally in the ratio 2 : 1 is , then is equal to :

Answer: (2)

Solution

Following the parametrization and locus derivation gives , so .

Question ID VK-001822