Question

write the formula to find the distance between the origin and coordinate [-3.4] ?​

Answer 1

Given:-

• Distance between the origin and co-ordinate (-3,4).

To find:-

• Distance between the origin and co-ordinate

Required Formula:-

• OA = √x₁²+y₁²

Solution:-

• Distance between the points is 5 units.

Step-by-step explanation:

Let the points be A(x₁,y₁) = (-3,4) and O(x₂,y₂) = (0,0) respectively.

$\\ :\implies\sf{OA= \sqrt{ {( - 3)}^{2} + {(4)}^{2} } } \\ \\ :\implies\sf{OA= \sqrt{9 + 16} } \\ \\ :\implies\sf{OA= \sqrt{25} } \\ \\ :\implies \underbrace{\boxed{\sf{OA=5}}} \: \red{ \bigstar}$

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Note:-

• The distance to the point P(x₁,y₁) from the origin is √x₁²+y₁².
• The distance between the points A(x₁,y₁) and B(x₂,y₂) is √(x₂-x₁)² + (y₂-y₁)².

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Answer 2

$\huge\mathcal\colorbox{lavender}{{\color{b}{✿AɴSᴡᴇʀ✿}}}$

$Distance \: \: of \: \: point  \: (−3,4) \: \:  from \: \: the \: \: origin$

$=Distance \: \: of \: \: point (−3,4) from (0,0)$

$Distance \: formula \: =$

$\sqrt{(x ₂−x)²+(y ₂−y)² }$

$\sqrt{(−3−0)² +(4−0)² }$

$\sqrt{9+16}$

$\sqrt{25}$

$=5units$