If the lines `ax + by + c = 0, bx + cy + a = 0` and `cx + ay + b = 0` be concurrent, then:

If the three straight lines ax + 2y + 1 = 0, 3y + bx + 1 = 0 and cx+ 4y + 1=0 are concurrent, then show that- a. b, c are in AP.

If the lines ax+by+c=0, bx+cy+a=0 and Cx+ay+b=0 are concurrent (a+b+cne0) then

The lines ax+by+c=0, bx+cy+a =0, cx+ay+b =0 are concurrent when-

If the quadrilateral formed by the lines ax + by + c = 0, a'x + b'y + c' = 0, ax + by + c' = 0,a'x + b'y + c = 0 have perpendicular diagonals, then :

Prove that the straight lines ax+by+c=0,bx+cy+a=0and cx+ay+b=0 are concurrent if a+b+c=0.When a!=b!=c .

For agtbgtcgt0 , the distance between (1 ,1) and the point of intersection of the lines ax + by + c = 0 and bx + ay +c = 0 is less than 2sqrt2 , then

The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at the point (a) (1/2 ,3/4) (b) (1,3) (c) (3,1) (d) (3/4 ,1/2)

Let a, b , c and d be nonzero number . If the point of intersection of the lines 4ax + 2ay + c = 0 and 5 b x + 2 by + d = 0 lies in the fouth quadrant and is eqaidistant from the two axes , then _

If the straight lines a^(2)x+ay+k=0, b^(2) x+by+k=0 and c^(2)x+cy+k=0 ( k ne 0) are concurrent, show that at least two of the three constant a,b,c are equal.

The lines 2x-y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for