Find the distance from the point (2, 3) to the line 3x + 4y + 9 = 0

5

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5.4

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5.8

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6.2

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none of these

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Solution

The correct option is B $5.4$
Distance from point $(2, 3)$ to the line $3 x + 4 y + 9 = 0$

$=> r = \frac{| 3 (2) + 4 (3) + 9 |}{\sqrt{3^{2} + 4^{2}}}$

$=> r = \frac{| 16 + 12 + 9 |}{\sqrt{9 + 16}}$

$=> r = \frac{27}{5}$

$=> r = 5.4$

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