JEE Main 2022 Mathematics question
If the circle , g, c R passes through the point (6, 1) and its centre lies on the line x − 2cy = 8, then the length of intercept made by the circle on x-axis is
Answer: (4)
Solution
The circle passes through (6, 1): 36 + 1 − 12g + 6 − 19c = 0, i.e. 12g + 19c = 43. Its centre is (g, −3), which lies on x − 2cy = 8: g + 6c = 8. Solving, g = 2 and c = 1. The
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