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Distance between Points Not Parallel to X & Y Coordinates

From the figu...

Question

From the figure, the distance between the points A(3, 4) and C(9, 4) is

A

3

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B

4

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C

5

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D

6

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Solution

The correct option is D 6
Given A(3,4), C(9,4)
$∵$ Distance between points $(x_{1}, y_{1}), (x_{2}, y_{2}) i s \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$
$∴ A B = \sqrt{(9 - 3)^{2} + (4 - 4)^{2}} = \sqrt{36 + 0} = 6$

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