Find the distance between the line 12x - 5y + 9 = 0 and the point (2, 1)

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Solution

The required distance = $∣ ∣ ∣ ∣ ∣ \frac{12 \times 2 - 5 \times 1 + 9}{\sqrt{12^{2} + {(- 5)}^{2}}} ∣ ∣ ∣ ∣ ∣ = \frac{| 24 - 5 + 9 |}{13} = \frac{28}{13}$

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