Hence, Option A. 17 is the correct answer
Further explanation:
In order to find AB we have to find the magnitude or distance between the two given points
The formula for calculating distance is:
[tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ Here,\\(x_1,y_1)\ are\ the\ coordinates\ of\ first\ point\\(x_2, y_2) are\ the\ coordinates\ of\ second\ point\\So, \ putting\ the\ values\\d(A,B) = \sqrt{(2-(-6))^2+(5-(-10))^2}\\ = \sqrt{(2+6)^2+(5+10)^2} \\=\sqrt{(8)^2+(15)^2}\\ =\sqrt{64+225}\\ =\sqrt{289}\\ = 17\ units[/tex]
So, the magnitude of AB or length of AB is 17 units.
Hence, Option A. 17 is the correct answer
Keywords: Coordinate geometry, magnitude
Learn more about coordinate geometry at:
- brainly.com/question/10764770
- brainly.com/question/11638377
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