Question

The length of perpendicular from (3, 1) on line 4x + 3y + 20 = 0, is ????​

Answer 1

SOLUTION

TO DETERMINE

The length of perpendicular from (3, 1) on line 4x + 3y + 20 = 0

EVALUATION

Here the given equation of the line

4x + 3y + 20 = 0

Hence the length of perpendicular from (3, 1) on line 4x + 3y + 20 = 0 is

$\displaystyle \sf{ = \bigg | \frac{(4 \times 3) + (3 \times 1) + 20}{ \sqrt{ {4}^{2} + {3}^{2} } } \bigg| }$

$\displaystyle \sf{ = \bigg | \frac{12 + 3 + 20}{ \sqrt{16 + 9 } } \bigg| } \: \: \: unit$

$\displaystyle \sf{ = \bigg | \frac{35}{ \sqrt{25 } } \bigg| } \: \: \: unit$

$\displaystyle \sf{ = \bigg | \frac{35}{ 5 } \bigg| } \: \: \: unit$

$\displaystyle \sf{ =7\: \: \: unit}$

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