Question

State the conditions so that a pair of linear equations a1x + b1y + c1 = 0 & a2x + b2y + c2 = 0 has exactly 1 solution, no solution and infinitely many Solutions.​

Answer 1

Step-by-step explanation:

$for \: a \: pair \: of \: linear \: equations \\ \\ (1) \: \: for \: only \: one \: solution \\ \frac{a1}{a2} not \: equal \: to \: \frac{b1}{b2} \\ \\ (2) \: for \: no \: solution \\ \frac{a1}{a2} = \frac{b1}{b2} not \: equal \: to \: \frac{c1}{c2} \\ \\ (3) \: \: for \: infinitely \: many \: solutions \\ \frac{a1}{a2} = \frac{b1}{b2} = \frac{c1}{c2}$