Question Number 55335 by Tawa1 last updated on 21/Feb/19
Answered by tanmay.chaudhury50@gmail.com last updated on 22/Feb/19
$$\frac{{a}}{{p}}=\frac{{b}}{{q}}\rightarrow{aq}={bp} \\ $$$${tw}\mathrm{0}\:{st}\:{line}\:{have}\:{no}\:{solution}\:{if}\:{they}\:{are}\:{parallel} \\ $$$${to}\:{each}\:{other}... \\ $$$${ax}+{by}={c} \\ $$$${y}=\frac{−{a}}{{b}}{x}+\frac{{c}}{{b}}\:\:{so}\:{slope}\:{m}_{\mathrm{1}} =\frac{−{a}}{{b}} \\ $$$${similarly}\:{m}_{\mathrm{2}} =\frac{−{p}}{{q}} \\ $$$${m}_{\mathrm{1}} ={m}_{\mathrm{2}} \\ $$$$\frac{−{a}}{{b}}=\frac{−{p}}{{q}}\rightarrow{aq}={bp} \\ $$$${i}\:{think}\:{so}... \\ $$
Commented by Tawa1 last updated on 22/Feb/19
$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir} \\ $$