C-12-Q130mediumsingle_mcq

The system $ax + by + c = 0,\; px + qy + r = 0$ is consistent and mutually independent when —

a $\dfrac{a}{p} = \dfrac{b}{q}$
b $\dfrac{a}{p} \ne \dfrac{b}{q}$
c $\dfrac{a}{p} = \dfrac{b}{q} = \dfrac{c}{r}$
d $\dfrac{a}{p} = \dfrac{b}{q} \ne \dfrac{c}{r}$

ব্যাখ্যা

A pair of linear equations has a unique solution (consistent and independent) exactly when the coefficient ratios differ: $\dfrac{a}{p} \ne \dfrac{b}{q}$ . Equal ratios would make the lines parallel or coincident.

এই অধ্যায়ের আরও প্রশ্ন

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Simple Simultaneous Equations in Two Variables — সব প্রশ্ন দেখুন (152টি) →

The system $ax + by + c = 0,\; px + qy + r = 0$ is consistent and mutually independent when —

\dfrac{a}{p} = \dfrac{b}{q}

\dfrac{a}{p} \ne \dfrac{b}{q}

\dfrac{a}{p} = \dfrac{b}{q} = \dfrac{c}{r}

\dfrac{a}{p} = \dfrac{b}{q} \ne \dfrac{c}{r}

The system ax+by+c=0, px+qy+r=0ax + by + c = 0,\; px + qy + r = 0ax+by+c=0,px+qy+r=0 is consistent and mutually independent when —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The system ax+by+c=0, px+qy+r=0ax + by + c = 0,\; px + qy + r = 0ax+by+c=0,px+qy+r=0 is consistent and mutually independent when —

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

The system $ax + by + c = 0,\; px + qy + r = 0$ is consistent and mutually independent when —

The system $ax + by + c = 0,\; px + qy + r = 0$ is consistent and mutually independent when —