A circle touches the y-axis at the point (0, 4) and passes through the point(2, 0). Which of the following lines is not a tangent to this circle?

Using family of circles, the required circle will be of the form x−02+y−42+λx=0 Given, it passes through (2,0)⇒4+16+2λ=0⇒λ=-10 So, the circle will be x2+y2-10x-8y+16=0 having center at (5,4) and radius as  52+42−16=5For a line to be tangent, perpendicular distance from center should be equal to radius. So, check the options and we get 4x+3y-8=0 is not tangent