Concurrent Lines

Consider the following statements I.Number of circles touching the given three non- concurrent lines is 4. II.Number of circles passing through (1,2),(4,8) and (0,0) is one. Which of the above statement(s) is/are correct?

Statement - 1 : If non-zero numbers a , b , c are in H.P. , then the equation (x)/(a) + (y)/(b) = (1)/(c) represents a family of concurrent lines . Statement- 2 : A linear equation px + qy = 1 in x , y represents a family of straight lines passing through a fixed point iff there is a linear relation between p and q .

If the lines y=x+1 , y=2x and y=kx+3 are concurrent find the value of 'k' .

Which of the following lines is concurrent with the lines 3x+ 4y+6=0 and 6x+5y +9 =0 ?

If the lines x+ 3y -9=0 , 4x+ by -2 =0, and 2x -4 =0 are concurrent, then the equation of the lines passing through the point (b,0) and concurrent with the given lines, is