Which of the following pairs of lines are parallel?

3x + y = 225, 2x + y = 1.1

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7x + y = 132, x + 7y = 3

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4x + 3y = 4, 8x + 6y = 2235

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None of these

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Solution

The correct option is C
4x + 3y = 4, 8x + 6y = 2235

Let us consider 2 lines with equations given below.

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

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

If

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

Then the 2 lines represented by the equations are parallel.

The above condition needs to satisfied for 2 lines to be parallel.

This above condition is satisfied only by bthe lines represented in option C

Here $a_{1}$ and $a_{2}$ are the 4 and 8 respectively. Here $b_{1}$ and $b_{2}$ are 3 and 6 respectively. It is clear that $\frac{a_{1}}{a_{2}}$ = $\frac{b_{1}}{b_{2}}$

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