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Mathematics

Grade9

Easy

Question

Given are two points (x₁, y₁), (x₂, y₂). The distance between them is:

$\sqrt{{(y_{1} - y_{2})}^{2} + {(x_{2} - x_{1})}^{2}}$
$\sqrt{{(y_{2} + y_{1})}^{2} - {(x_{2} + x_{1})}^{2}}$
$\sqrt{(y_{2} - y_{1}) + (x_{2} - x_{1})}$
$\sqrt{{(y_{2} - y_{1})}^{2} + {(x_{2} - x_{1})}^{2}}$

hint Hint:

If there are two points and ,then distance between two points is

The correct answer is: $square root of open parentheses y subscript 2 end subscript minus y subscript 1 end subscript close parentheses to the power of 2 end exponent plus open parentheses x subscript 2 end subscript minus x subscript 1 end subscript close parentheses to the power of 2 end exponent end root$

If there are two points and ,then distance between two points is

Therefore, The formula to find distance between two points is $square root of open parentheses y subscript 2 end subscript minus y subscript 1 end subscript close parentheses to the power of 2 end exponent plus open parentheses x subscript 2 end subscript minus x subscript 1 end subscript close parentheses to the power of 2 end exponent end root$

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