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Find the length of the perpendicular from the point (2,3) on the line 4x - 6y = 3

written 5.6 years ago by teamques10 ★ 69k

modified 3.0 years ago by pedsangini276 • 4.8k

engineering mathematics

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1 Answer

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written 5.6 years ago by teamques10 ★ 69k

Solution:

$$\begin{aligned} p &=\left|\frac{a x_{1}+b y_{1}+c}{\sqrt{a^{2}+b^{2}}}\right| \ &=\left|\frac{ | 4(2)+(-6)(3)-3}{\sqrt{(4)^{2}+(-6)^{2}}}\right| \ &=\left|\frac{8-18-3}{\sqrt{52}}\right| \ &=\frac{13}{\sqrt{52}} \quad \text { or } \quad 1.803 \end{aligned}$$

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