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Mathematics

Calculate the distance between A(7, 3) and B on the x-axis whose abscissa is 11.

Distance Formula

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Answer

We know that any point on x-axis has co-ordinates of the form (x, 0).

The abscissa of point B is 11.

So, the point B is (11, 0).

Distance between the given points = (x2x1)2+(y2y1)2\sqrt{(x2 - x1)^2 + (y2 - y1)^2}

Distance between A(7, 3) and B(11, 0):

=(117)2+(03)2=42+(3)2=16+9=25=5 units= \sqrt{(11 - 7)^2 + (0 - 3)^2}\\[1em] = \sqrt{4^2 + (- 3)^2}\\[1em] = \sqrt{16 + 9}\\[1em] = \sqrt{25}\\[1em] = 5 \text{ units}

Hence, the distance between A(7, 3) and B(11, 0) is 5 units.

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