The equation of the circle concentric with the circle `x^(2) + y^(2) - 6x - 4y - 12 =0` and touching y axis
The equation of the circle concentric with the circle `x^(2) + y^(2) - 6x - 4y - 12 =0` and touching y axis
A. `x^(2) + y^(2) - 6x - 4y + 4 =0`
B. `x^(2) + y^(2) - 6x - 4y + 9 =0`
C. `x^(2) + y^(2) - 6x - 4y - 4 =0`
D. `x^(2) + y^(2) - 6x - 4y - 9 =0`
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Correct Answer - A
Given equation of circle
`x^(2) + y^(2) - 6x - 4y - 12 = 0`
Centre of circle (i) is (3,2)
Equation of circle concentric with circle (i) and touching the Y-axis is
`(X - 3)^(2) + (y -2)^(2) = (3)^(2)`
`implies x^(2) + 9 - 6x + y^(2) + 4 - 4y = 9`
`implies x^(2) + y^(2) - 6x - 4y + 4 = 0`
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