Which out of the following type of straight lines will be represented by the system of equations 3x + 4y = 5 and 6x +... | MCQ 1m | Maths | SuperPadhai

Linear Equations > Question

MCQ1 markYear: 2024EasyCBSE Class 10

linear-equationsparallel-linesconsistency

Question

Which out of the following type of straight lines will be represented by the system of equations

3 x + 4 y = 5

and

6 x + 8 y = 7

?

Solution

1

\frac{a _{1}}{a _{2}} = \frac{3}{6} = \frac{1}{2}

,

\frac{b _{1}}{b _{2}} = \frac{4}{8} = \frac{1}{2}

,

\frac{c _{1}}{c _{2}} = \frac{5}{7}

. Since

\frac{a _{1}}{a _{2}} = \frac{b _{1}}{b _{2}} \neq = \frac{c _{1}}{c _{2}}

, the lines are parallel.

+1 mark

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