Question

Distance between the points A(√2,√2) and B(-√2 ,-√2) is ____ ​

Answer 1

Answer:-

Given,

$\sf x _{1} = \sqrt{2}$

$\sf x _{2} = - \sqrt{2}$

$\sf y_{1} = \sqrt{2}$

$\sf y_{2} = - \sqrt{2}$

So, distance between the points

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

$\sf = \sqrt{ {( - \sqrt{2} - \sqrt{2})^{2} + ( - \sqrt{2} - \sqrt{2} )}^{2} }$

$\sf = \sqrt{ {2 \times ( - 2 \sqrt{2} )}^{2} }$

$\sf = \sqrt{2 \times8 }$

$\sf = \sqrt{16}$

$\sf = 4$

This is the required answer.

Answer 2

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