In the pair of linear equations `a_1x+b_1y+c_1=0 and a_2x+ b_2y + C_2` = 0. If `a_1/a_2 ne b_1/b_2` then the

For two linear equations , a_1x + b_1y + c_1=0 and a_2x + b_2y + c_2 = 0 , the condition (a_1)/(a_2)=(b_1)/(b_2)=(c_1)/(c_2) is for.

The pair of linear equations a_1x+b_1y+c_1=0' and a_2x+b_2y+c_2=0' have a unique solution, if _____ .

The pair of equations a_1x+b_1y+c_1=0" and "a_2x+b_2y+c_2=0 has unique solution, then……..

The pair of equations a_1x+b_1y+c_1=0" and "a_2x+b_2y+c_2=0 are consistent, then……..

If the origin lies in the acute angle between the lines a_1 x + b_1 y + c_1 = 0 and a_2 x + b_2 y + c_2 = 0 , then show that (a_1 a_2 + b_1 b_2) c_1 c_2 lt0 .

If (a_1)/(a_2) = (b_1)/(b_2) ne (c_1)/(c_2) , then the equations a_1x + b_1y + c_1 =0 and a_2x + b_2y + c_2=0 are _________. (consistent/inconsistent)

If the lines drawn to the linear equations of the type a_1 x+b_1 y+c_1=0 and a_2 x+b_2 y+c_2 =0 are coincident on each other, then the correct relation among the following is

Show that two lines a_(1) x + b_(14) y + c_(1) = 0 and a_(2) x + b_(2) y + c_(2) = 0 , where b_(1) , b_(2) ne 0 are (i) Parallel if (a_1)/( b_1) = (a_2)/( b_2) and