Question

The distance between the points (m, - n) and (- m, n) is
(A) m² + n²
(B) m+n
(C) 27m2 + n2
(D 12m2 + 2n2​

Answer 1

Step-by-step explanation:

according to distance formula

ab^2 =[m-(-m)]^2 +[-n-n]^2

=[2m]^2 +[-2n]^2

=4m^2 + 4n^2

=4(m^2+n^2)

=m+n

Answer 2

The distance between the points (m,-n) and (-m,n)=$2\sqrt{m^2+n^2}$

Step-by-step explanation:

Given:Points are (m,-n) and (-m,n)

Distance formula:$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the formula

The distance between the points (m,-n) and (-m,n) is given by

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

The distance between the points (m,-n) and (-m,n)=$\sqrt{(-2m)^2+(2n)^2}$

The distance between the points (m,-n) and (-m,n)=$\sqrt{4m^2+4n^2}$

The distance between the points (m,-n) and (-m,n)=$\sqrt{4(m^2+n^2)}$

The distance between the points (m,-n) and (-m,n)=$2\sqrt{m^2+n^2}$

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