MathematicsMedium127×since 2002Q3136Let a circle C touch the lines L1:4x−3y+K1=0{L_1}:4x - 3y + {K_1} = 0L1:4x−3y+K1=0 and L2=4x−3y+K2=0{L_2} = 4x - 3y + {K_2} = 0L2=4x−3y+K2=0, K1,K2∈R{K_1},{K_2} \in RK1,K2∈R. If a line passing through the centre of the circle C intersects L₁ at (−1,2)( - 1,2)(−1,2) and L₂ at (3,−6)(3, - 6)(3,−6), then the equation of the circle C is :A(x−1)2+(y−2)2=4{(x - 1)^2} + {(y - 2)^2} = 4(x−1)2+(y−2)2=4B(x+1)2+(y−2)2=4{(x + 1)^2} + {(y - 2)^2} = 4(x+1)2+(y−2)2=4C(x−1)2+(y+2)2=16{(x - 1)^2} + {(y + 2)^2} = 16(x−1)2+(y+2)2=16D(x−1)2+(y−2)2=16{(x - 1)^2} + {(y - 2)^2} = 16(x−1)2+(y−2)2=16Check answerSkip