JEE Main 2024 Mathematics question

MathematicsStraight LinesJEE Main 2024

If the line segment joining the points (5, 2) and (2, a) subtends an angle at the origin, then the absolute value of the product of all possible values of a is:

Answer: (D)

Solution

tan(π/4) = 1 = |(5a − 4)/(10 + 2a)|, so 5a − 4 = ±(10 + 2a) gives a =

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Question ID VK-012459