Question

the distance between the point(m,-n) and (-m,n) is

Answer 1

$\huge{\underline{\underline{\bf{Solution}}}}$

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{To \: Find :}}}}$

We have to find the Distance between A and B.

A(m,-n)

B(-m,n)

$\rule{200}{2}$

$\Large{\underline{\underline{\bf{Explanation :}}}}$

We know distance formula

$\Large{\star{\boxed{\sf{Distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}}}}$

Where,

• x1 = m
• x2 = -m
• y1 = -n
• y2 = n

______________[Put Values]

$\tt{AB = \sqrt{(-m -m)^2 + (n - (-n))^2}} \\ \\ \tt{→AB = \sqrt{(-2m)^2 + (n + n)^2}} \\ \\ \tt{→AB = \sqrt{4m^2 + (2n)^2}} \\ \\ \tt{→AB = \sqrt{4m^2 + 4n^2}} \\ \\ \tt{→AB = 2\sqrt{m^2 + n^2}}$