If the pair of linear equations : a_{1}x + b_{1}y + c_{1} = 0 and a_{2}x + b_{2}y + c_{2} = 0 is consistent a…

Mathematics Pair of Linear Equations in Two Variables CBSE Board 2026

If the pair of linear equations :

a_{1} x + b_{1} y + c_{1} = 0

and

a_{2} x + b_{2} y + c_{2} = 0

is consistent and dependent, then

(a) $\frac{a _{1}}{a _{2}} \neq = \frac{b _{1}}{b _{2}}$
(b) $\frac{a _{1}}{a _{2}} \neq = \frac{b _{1}}{b _{2}} = \frac{c _{1}}{c _{2}}$
(c) $\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} \neq = \frac{c _{1}}{c _{2}}$
(d) $\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} = \frac{c _{1}}{c _{2}}$

🔒 Step-by-step solution