he distance between the points (m,-n)and (-m,n) is:

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Solution

Q.
The distance between the points (m,-n) and (-m,n) is

1 $\sqrt{m^{2} + n^{2}}$

2 $m + n$

3 $2 \sqrt{m^{2} + n^{2}}$

4 $\sqrt{2 m^{2} + 2 n^{2}}$

Ans.
(3)

Given points be A (m,-n)and B (-m,n).

Now,

$A B = \sqrt{(m + m)^{2} + (- n - n)^{2}} = \sqrt{4 m^{2} + 4 n^{2}} = 2 \sqrt{m^{2} + n^{2}} R e q u i r e d d i s t a n c e = 2 \sqrt{m^{2} + n^{2}}$

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