JEE Advanced 2019 Mathematics question
Let the point be the reflection of the point with respect to the line . Let and be circles of radii 2 and 1 with centres and respectively. Let be a common tangent to the circles and such that both the circles are on the same side of . If is the point of intersection of and the line passing through and , then the length of the line segment is
Answer: 10
Solution
Distance of from the line , so . is a direct common tangent, and it meets the line of
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