If `3a+2b+4c=0` then show that the equation `ax+by+c=0` represents a family of concurrent straight lines and find the point of concurrency.

If a,b,c are arithmetic progression then show that the equation ax+by+c=0 represents a family of concurrent lines and find the point of concurrency.

If non zero numers a,b,c are in harmonic progression, the show that the equation x/a+y/b+1/c=0 represents a family of concurrent lines and find the point of concurrency.

The equation ax+by+c=0 represents a straight line

The equation ax + by + c =0 represents a straight line

Show that the following equations represent a set of concurrent lines and hence find the point of concurrence. i) (2+5k)x-3(1+2k)y+(2-k)=0, Ans: (5,4)]

Statement -1 : If a,b,c are parameters such that 3a + 2b+4c=0, then the family of lines ax +by+ c =0 pass through a fixed point (3,2). and Statement -2: The equation ax + by + c =0 wil represent a family of straight lines passing through a fixed point if there exist a linear relation between a, b and c.

Show that the lines 2x+y-3=0, 3x+2y-2=0 and 2x-3y-23=0 are concurrent and find the point fo concurrency.