Question

Find the distance of point (-2,3) from
origin

Answer 1

$\Huge{\underline{\underline{\red{\sf{Question :}}}}}$

Find the distance of point (-2,3) from

origin.

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$\Huge{\underline{\underline{\red{\sf{Answer :}}}}}$

${\tt{\huge{As,}}}{\tt{we\:know\:the}}{\tt{points \: of \: origin}}$$\tt{are \: (0,0)}$

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So,

Take these points as A(0,0)

And B(-2,3)

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Now use distance formula :

$\large{\underline{\boxed{\sf{|AB| \: = \: \sqrt{({x_{2} \: - \: x_{1}})^2 \: + \: (y_{2} \: - \: y_{1})^2}}}}}$

Take,

x2 = -2

x1 = 0

y2 = 3

y1 = 0

Substitute these values in Distance Formula

$\rightarrow {\sf{|AB| \: = \: \sqrt{[(-2) \: - \: (0)]^2 \: + \: [(3) \: - \: (0)]^2}}}$

$\rightarrow {\sf{|AB| \: = \: \sqrt{(-2)^2 \: + \: (3)^2}}}$

$\rightarrow {\sf{|AB| \: = \: \sqrt{4 \: + \: 9}}}$

$\large \rightarrow {\sf{|AB| \: = \: \sqrt{13}}}$

$\Large {\boxed{\sf{|AB| \: = \: \sqrt{13}}}}$

∴ Distance is √13 units

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Addition Information

• Distance Formula = √(x2 - x1) \: + \: (y2 - y1)

• Section Formula = [(mx2-nx1)/(m-n)] , [(my2-ny1)/(m-n)]

• Mid Point Formula = (x1+x2)/2 , (y1+y2)/2

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#BAL

#answerwithquality