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Consider a circle C(1):x^(2)+y^(2)-4x-2y...

Consider a circle `C_(1):x^(2)+y^(2)-4x-2y=a-5`. Let its mirror image in the line `y=2x+1` be another circle `C_(2):5x^(2)+5y^(2)-10fx-10gy+36=0`. Let r be the radius of `C_(2)`. Then `a+r` is equal to ___.

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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