Find the distance between the following pair of points.
$(7, 8)$ and $(- 2, - 3)$

\sqrt{202}

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\sqrt{22}

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\sqrt{222}

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None of these

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Solution

The correct option is C $\sqrt{202}$
Take points $A (7, 8)$ and $B (- 2, - 3)$ .

To find the distance between two point $A (x_{1}, y_{1})$ and $B (x_{2}, y_{2})$ , distance formula is used which is given by:

$A B = \sqrt{(x_{1} - x_{2})^{2} + (y_{1} - y_{2})^{2}}$ .

So, $A B = \sqrt{(7 - (- 2))^{2} + (8 - (- 3))^{2}}$

$A B = \sqrt{(81 + 121)}$

$A B = \sqrt{(202)}$

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