The distance between the points A(a+b, b-a) a | vedclass

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(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(a

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$2 \sqrt{a^{2}+b^{2}}$

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(C) The distance formula between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Given points are $A(a+b, b-a)$ and $B(a-b, a+b)$.$AB = \sqrt{((a-b) - (a+b))^2 + ((a+b) - (b-a))^2}$$AB = \sqrt{(a - b - a - b)^2 + (a + b - b + a)^2}$$AB = \sqrt{(-2b)^2 + (2a)^2}$$AB = \sqrt{4b^2 + 4a^2}$$AB = \sqrt{4(a^2 + b^2)}$$AB = 2\sqrt{a^2 + b^2}$.

The distance between the points $A(a+b, b-a)$ and $B(a-b, a+b)$ is............

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