If the lines `p_1x+q_1y=1+q_2y=1 and p_3x+q_3y=1` be concurrent, show that the point `(p_1,q_1),(p_2,q_2) and (p_3,q_3)` are collinear.

Find the condition that the st. lines : p_1x+q_1y=1,p_2x+q_2y=1 and p_3x+q_3y=1 be concurrent, show that the point (p_1,q_1),(p_2,q_2) and (p_3,q_3) are collinear.

If the lines p_1x+q_1y=1,p_2x+q_2y=1a n dp_3x+q_3y=1, be concurrent, show that the point (p_1, q_1),(p_2, q_2)a n d(p_3, q_3) are collinear.

If the lines p_1x+q_1y=1,p_2x+q_2y=1a n dp_3x+q_3y=1, be concurrent, show that the point (p_1, q_1),(p_2, q_2)a n d(p_3, q_3) are collinear.

If the lines p_1 x + q_1 y = 1, p_2 x + q_2 y=1 and p_3 x + q_3 y = 1 be concurrent, show that the points (p_1 , q_1), (p_2 , q_2 ) and (p_3 , q_3) are colliner.

If the points (p,0), (0,q)and (x,y) are collinear, prove that x/p+y/q= 1 .

If veca,vecb be two non zero non parallel vectors then show that the points whose position vectors are p_1veca+q_1vecb,p_2veca+q_2vecb,p_3veca+q_3vecb are collinear if |(1,p_1,q_1),(1,p_2,q_2),(1,p_3,q_3)|=0

If veca,vecb be two non zero non parallel vectors then show that the points whose position vectors are p_1veca+q_1vecb,p_2veca+q_2vecb,p_3veca+q_3vecb are collinear if |(1,p_1,q_1),(1,p_2,q_2),(1,p_3,q_3)|=0