Coaxial circles
Two-dimensional geometry · Mathematics
Study notes
Q: Write the coaxial family of x²+y²=25 and (x−3)²+y²=16. Find k for the circle through (0,0). Family: (x²+y²−25) + k(6x−18) = 0. Through (0,0): −25 + k(−18) = 0 → k = −25/18.
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Two-dimensional geometry · Mathematics
Q: Write the coaxial family of x²+y²=25 and (x−3)²+y²=16. Find k for the circle through (0,0). Family: (x²+y²−25) + k(6x−18) = 0. Through (0,0): −25 + k(−18) = 0 → k = −25/18.