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JEE Main 2015 Mathematics question

MathematicsCircleJEE Main 2015

Let the tangents drawn to the circle, from the point meet the -axis at points and . If the area of is minimum, then positive value of is:

Answer: (1)

Solution

By symmetry about the -axis, let the tangents meet the -axis at and . The line through and is , i.e. . Tangency to the circle of radius 4 centred at the origin requires , so ,

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Question ID VK-115294