Question

find the value of k for which the pair Lines kX + 3 Y + 1 =0, kX + Y + 3 = 0 represent intersecting lines.

Answer 1

intersecting lines means unique solution,so for unique solution condition is
$\frac{a1}{a2} \: \: \: \: is \: not \: equal \: to \: \frac{b1}{b2}$
a1=k,a2=k,b1=3,b2=1
$\frac{k}{k} \: \: \: is \: not \: equal \: to \: \frac{3}{1}$
this equation can not solve for value of K,there is some problem In the equation