If the three lines `a x+a^2y+1=0,\ b x+b^2y=1=0\ a n d\ c x+c^2y+1=0` are concurrent, show that at least two of three constants `a , b ,\ c` are equal.

If the three lines ax+a^(2)y+1=0,bx+b^(2)y=1=0 and cx+c^(2)y+1=0 are concurrent,show that at least two of three constants a,b,c are equal.

If the lines x+a y+a=0,\ b x+y+b=0\ a n d\ c x+c y+1=0 are concurrent, then write the value of 2a b c-a b-b c-c adot

I the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurrent, then a , b , c are in a. H.P. b. G.P. c. A.P. d. none of these

If the lines ax+y+1=0,x+by+1=0 and x+y+c=0 are concurrent,prove that (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=1

If the straight lines x+y-2-0,2x-y+1=0 and a x+b y-c=0 are concurrent, then the family of lines 2a x+3b y+c=0(a , b , c) are nonzero) is concurrent at (a) (2,3) (b) (1/2,1/3) (c) (-1/6,-5/9) (d) (2/3,-7/5)

If equations a^2x+b^2y+c^2=0,a^4x+b^4y+c^4=0 and x+y+1=0 are consistent then

If the lines ax+y+1=0,x+by+1=0 and x+y+c=0 are concurrent (a!=b!=c!=1), prove that (1)/(1-a)+(1)/(1-b)+(1)/(1-c)=1

If the lines (a-b-c) x + 2ay + 2a = 0 , 2bx + ( b- c - a) y + 2b = 0 and (2c+1) x + 2cy + c - a - b = 0 are concurrent , then the prove that either a+b+ c = 0 or (a+b+c)^(2) + 2a = 0

The straight lines x+2y-9=0,3x+5y-5=0, and ax+by-1=0 are concurrent,if the straight line 35x-22y+1=0 passes through the point (a,b)(b)(b,a)(-a,-b) (d) none of these