Which of the following lines passes through the origin?

3x+5y = 0

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x= 5

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y = 3

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x+y = 3

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Solution

The correct option is A
3x+5y = 0

Any linear equation in two variable passes through the origin if (0,0) is the solution of the equation.

Consider,

$3 x + 5 y = 0$

Substitute, $x = 0 y = 0$

$L H S = 3 (0) + 5 (0) = 0$

$\Rightarrow L H S = R H S$

$\Rightarrow$ (0,0) is the solution of the equation.

$∴$ $3 x + 5 y = 0$ passes through the origin.

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Which of the following lines passes through the origin?

The correct option is A 3x+5y = 0 Any linear equation in two variable passes through the origin if (0,0) is the solution of the equation. Consider, 3x+5y=0 Substitute, x=0 y=0 LHS=3(0)+5(0)=0 ⇒LHS=RHS ⇒ (0,0) is the solution of the equation. ∴ 3x+5y=0 passes through the origin.