The distance between the points A(2, 3) and B | vedclass

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(D) 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(2

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$13$

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(D) 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 $A(2, 3)$ and $B(-3, -9)$.Here,$x_1 = 2, y_1 = 3, x_2 = -3, y_2 = -9$.Substituting these values in the formula:$AB = \sqrt{(-3 - 2)^2 + (-9 - 3)^2}$$AB = \sqrt{(-5)^2 + (-12)^2}$$AB = \sqrt{25 + 144}$$AB = \sqrt{169}$$AB = 13$.Thus,the distance between the points is $13$ units.

The distance between the points $A(2, 3)$ and $B(-3, -9)$ is ...........

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