If the origin lies on a line, which is perpendicular to the line with equation $y = 2 x + 5$ at point $S$ , find the distance from the origin to point $S$ .

2.24

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2.45

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2.67

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3.25

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3.89

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Solution

The correct option is A $2.24$
Now effectively we will find perpendicular distance from origin to line $2 x - y + 5 = 0$
Distance is equal to $\frac{| 0 + 0 + 5 |}{\sqrt{2^{2} + 1^{2}}} = \frac{5}{\sqrt{5}} = \sqrt{5} = 2.24$

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If the origin lies on a line, which is perpendicular to the line with equation y=2x+5 at point S, find the distance from the origin to point S.

The correct option is A 2.24Now effectively we will find perpendicular distance from origin to line 2x−y+5=0Distance is equal to |0+0+5|√22+12=5√5=√5=2.24

If the origin lies on a line, which is perpendicular to the line with equation $y = 2 x + 5$ at point $S$ , find the distance from the origin to point $S$ .

The correct option is A $2.24$
Now effectively we will find perpendicular distance from origin to line $2 x - y + 5 = 0$
Distance is equal to $\frac{| 0 + 0 + 5 |}{\sqrt{2^{2} + 1^{2}}} = \frac{5}{\sqrt{5}} = \sqrt{5} = 2.24$