The equation of the straight line joining the origin to the point of intersection of $y - x + 7 = 0$ and $y + 2 x - 2 = 0$ is

3 x + 4 y = 0

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3 x - 4 y = 0

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4 x - 3 y = 0

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4 x + 3 y = 0

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Solution

The correct option is A $4 x + 3 y = 0$
The point of intersection of $y - x + 7 = 0$ and $y + 2 x - 2 = 0$ is $(3, - 4)$
$∴$ Equation of straight line joining from origin to the point $(3, - 4)$ is
$y - 0 = - \frac{4}{3} (x - 0)$
$\Rightarrow$ $3 y = - 4 x$
$\Rightarrow$ $4 x + 3 y = 0$

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