Let the tangents at two points A and B on the circle x^ 2 + y^ 2 - 4x + 3 = 0 meet at origin O(0, 0). Then the area of the triangle OAB is

JEE Main 2022 Mathematics question

Let the tangents at two points A and B on the circle meet at origin O(0, 0). Then the area of the triangle OAB is

Answer: (2)

The circle is , with centre C(2, 0) and radius 1. The length of the tangent from O is . If is the angle between OA and OC,

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Question ID VK-034698