jee-main 2020 Q56

jee-main · India · session2_04sep_shift2 Circles Circle Equation Derivation

The circle passing through the intersection of the circles, $x ^ { 2 } + y ^ { 2 } - 6 x = 0$ and $x ^ { 2 } + y ^ { 2 } - 4 y = 0$ having its centre on the line, $2 x - 3 y + 12 = 0$, also passes through the point:
(1) $( - 1,3 )$
(2) $( - 3,6 )$
(3) $( - 3,1 )$
(4) $( 1 , - 3 )$

The circle passing through the intersection of the circles, $x ^ { 2 } + y ^ { 2 } - 6 x = 0$ and $x ^ { 2 } + y ^ { 2 } - 4 y = 0$ having its centre on the line, $2 x - 3 y + 12 = 0$, also passes through the point:\\
(1) $( - 1,3 )$\\
(2) $( - 3,6 )$\\
(3) $( - 3,1 )$\\
(4) $( 1 , - 3 )$

Paper Questions

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