Correct Answer - C
The line 5x - 2y + 6 = 0 meets the Y-axis at the point (0,3) and therefore the tangent has to pass through the point (0,3) and required length
`=sqrt(x_(1)^(2)+y_(1)^(2)+6x_(1)+6y_(1
)-2)`
`=sqrt((0^(2)+3^(2)+6(0)+6(3)-2))`
`=sqrt25=5`