JEE Main 2024 Mathematics question

MathematicsCircleJEE Main 2024

Let a circle C of radius 1 and closer to the origin be such that the lines passing through the point (3, 2) and parallel to the coordinate axes touch it. Then the shortest distance of the circle C from the point (5, 5) is:

Answer: (D)

Solution

The circle touches x = 3 and y = 2, and the closer one has centre (2, 1). The

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Question ID VK-011559