Question

Find the perpendicular distance from the origin of line x+y-2=0 is

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

The perpendicular distance from the origin of line x + y - 2 = 0 is √2 unit

Given :

The line x + y - 2 = 0

To find :

The perpendicular distance from the origin of line

Solution :

Step 1 of 2 :

Write down the given equation of the line

Here the given equation of the line is

x + y - 2 = 0

Step 2 of 2 :

Find the perpendicular distance from the origin of line

The coordinates of the origin = (0,0)

Hence the required perpendicular distance

$\displaystyle \sf{ = \bigg | \frac{0 + 0 - 2}{ \sqrt{ {1}^{2} + {1}^{2} } } \bigg| } \: \: unit$

$\displaystyle \sf{ = \bigg | \frac{ - 2}{ \sqrt{ 1 + 1 } } \bigg| } \: \: unit$

$\displaystyle \sf{ = \bigg | \frac{ - 2}{ \sqrt{ 2 } } \bigg| } \: \: unit$

$\displaystyle \sf{ = \sqrt{2} } \: \: unit$

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