jee-advanced 2013 Q46

jee-advanced · India · paper2 Circles Circle Equation Derivation
Circle(s) touching $x$-axis at a distance 3 from the origin and having an intercept of length $2 \sqrt { 7 }$ on $y$-axis is (are)
(A) $x ^ { 2 } + y ^ { 2 } - 6 x + 8 y + 9 = 0$
(B) $x ^ { 2 } + y ^ { 2 } - 6 x + 7 y + 9 = 0$
(C) $x ^ { 2 } + y ^ { 2 } - 6 x - 8 y + 9 = 0$
(D) $x ^ { 2 } + y ^ { 2 } - 6 x - 7 y + 9 = 0$
Circle(s) touching $x$-axis at a distance 3 from the origin and having an intercept of length $2 \sqrt { 7 }$ on $y$-axis is (are)

(A) $x ^ { 2 } + y ^ { 2 } - 6 x + 8 y + 9 = 0$

(B) $x ^ { 2 } + y ^ { 2 } - 6 x + 7 y + 9 = 0$

(C) $x ^ { 2 } + y ^ { 2 } - 6 x - 8 y + 9 = 0$

(D) $x ^ { 2 } + y ^ { 2 } - 6 x - 7 y + 9 = 0$