Determine the line containing the point (2,3)

2x + 3y = 5

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3x - 2y = 0

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2x + 3y = 12

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4x - 3y = 1

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Solution

The correct option is B
3x - 2y = 0

If a point lies on straight line represented by a equation, then it satisfies the equation.

Substitute the point (2,3) in each equation.

$3 x - 2 y = 0$

$L H S = 3 (2) - 2 (3)$

$L H S = 6 - 6 = 0$

$\Rightarrow L H S = R H S$

$\Rightarrow$ Point (2,3)lies on the equation $3 x - 2 y = 0$

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