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Q.

if $\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}$ in equations $a_{1} x + b_{1} y + c_{1} = 0$ ; $a_{2} x + b_{2} y + c_{2} = 0$ then the equations having ___solution

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a

2

b

1

c

No solution

d

Infinite

answer is C.

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Detailed Solution

if

\frac{a_{1}}{a_{2}} = \frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

in equations

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

;

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

then the equations having no solution

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if a1a2=b1b2≠c1c2 in equations a1x+b1y+c1=0 ;a2x+b2y+c2=0 then the equations having ___solution