JEE Main 2024 Mathematics question

MathematicsCircleJEE Main 2024

Let C be a circle with radius units and centre at the origin. Let the line x + y = 2 intersects the circle C at the points P and Q. Let MN be a chord of C of length 2 unit and slope −1. Then, a distance (in units) between the chord PQ and the chord MN is

Answer: (B)

Solution

A chord of length 2 in a circle of radius √10 is at distance 3 from the centre, i.e. x +

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Question ID VK-011370