Find the distance between the following pairs | vedclass

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Question

(B) The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Her

Vedclass · Accepted Answer

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

Vedclass · Answer

(B) The distance $d$ between two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the distance formula: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$.Here,$(x_1, y_1) = (a, b)$ and $(x_2, y_2) = (-a, -b)$.Substituting these values into the formula:$d = \sqrt{(-a - a)^2 + (-b - b)^2}$$d = \sqrt{(-2a)^2 + (-2b)^2}$$d = \sqrt{4a^2 + 4b^2}$$d = \sqrt{4(a^2 + b^2)}$$d = 2\sqrt{a^2 + b^2}$.

Find the distance between the following pairs of points: $(a, b)$ and $(-a, -b)$.

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