If the tangents drawn at the points O(0, 0) and P(1 + 5 , 2) on the circle x^ 2 + y^ 2 - 2x - 4y = 0 intersect at the point Q, then the area of the triangle OPQ is equal to

JEE Main 2022 Mathematics question

If the tangents drawn at the points O(0, 0) and , 2) on the circle intersect at the point Q, then the area of the triangle OPQ is equal to

Answer: (3)

The circle has the tangent x + 2y = 0 at O(0, 0), and the tangent at , 2) is , i.e. , so . Their intersection is , −(1

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Question ID VK-034969