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CGP EDU Academic Team
Published on: August 14, 2026
If the circle x 2 + y 2 - 2gx + 6y - 19c = 0, 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
A
B
4
C
3
D
Text Solution
Verified by ExpertsThe correct answer is:
D
Given circle x 2 +y 2 -2gx + 6y-l9c = 0
Passes through (6, 1)
12g+19c = 43 ....(1)
Centre (g, -3) lies on given line
So, g + 6c = 8 ....(2)
Solve equation (1) & (2)
equation of circle x 2 + y 2 - 4x + 6y - 19 = 0
Length of intercept on x-axis
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