[" 24.If the straight lines "a_(1)x+b_(1)y+c=0,a_(2)x+b_(2)y+c=0" and "],[a_(3)x+b_(3)y+c=0quad [c!=0]" are concurrent,show that the "],[" points "(a_(1),b_(1)),(a_(2),b_(2))" and "(a_(3),b_(3))" are collinear."]

If the straight lines a_(1)x+b_(1)y+c=0,a_(2)x+b_(2)y+c=0anda_(3)x+b_(3)y+c=0[cne0] are concurrent , show that the points (a_(1),b_(1),(a_(2),b_(2))and(a_(3),b_(3)) are collinear.

If the lines a_(1)x+b_(1)y+1=0,a_(2)x+b_(2)y+1=0 and a_(3)x+b_(3)y+1=0 are concurrent,show that the points (a_(1),b_(1)),(a_(2),b_(2)) and (a_(3),b_(3)) are collinear.

If the lines a_(1)x+b_(1)y+1=0,a_(2)x+b_(2)y+1=0 and a_(3)x+b_(3)y+1=0 are concurrent,show that the point (a_(1),b_(1)),(a_(1),b_(2)) and (a_(3),b_(3)) are collinear.

If the lines a_(1)x+b_(1)y+1=0,a_(2)x+b_(2)y+1=0 and a_(3)x+b_(3)y+1=0 are concurren ow that the points (a_(1),b_(1)),(a_(2),b_(2)) and (a_(3),b_(3)) are collinear

If the lines a_(1)x+b_(1)y=1,a_(2)x+b_(2)y=1,a_(3)x+b_(3)y=1, are concurrent then the points (a_(1),b_(1)),(a_(2),b_(2)),(a_(3),b_(3))

The line a_(1)x+b_(1)y+c_(1)=0 and a_(2)x+b_(2)y+c_(2)=0 are perpendicular if:

To find the condition that the three straight lines A_(1)x+B_(1)y+C_(1)=0, A_(2)x+B_(2)y+C_(2)=0 and A_(3)x+B_(3)y+C_(3)=0 are concurrent.

STATEMENT-1: If three points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are collinear, then |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=0 STATEMENT-2: If |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=0 then the points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) will be collinear. STATEMENT-3: If lines a_(1)x+b_(1)y+c_(1)=0,a_(2)=0and a_(3)x+b_(3)y+c_(3)=0 are concurrent then |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0

STATEMENT-1: If three points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) are collinear, then |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=0 STATEMENT-2: If |{:(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1):}|=0 then the points (x_(1),y_(1)),(x_(2),y_(2)),(x_(3),y_(3)) will be collinear. STATEMENT-3: If lines a_(1)x+b_(1)y+c_(1)=0,a_(2)=0and a_(3)x+b_(3)y+c_(3)=0 are concurrent then |{:(a_(1),b_(1),c_(1)),(a_(2),b_(2),c_(2)),(a_(3),b_(3),c_(3)):}|=0