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Chapter 8: Q6. (page 414)

Find the distance between the pair of points2,-4and10,-10with the given coordinates.

Short Answer

Expert verified

The distance between the given pair of points is10units.

Step by step solution

01

Step 1. Write down the given information.

The given pair of points have coordinates2,-4and10,-10.

02

Step 2. Concept used.

If a line segment has end-points at x1,y1andx2,y2then the distance dbetween these points is given as:

d=x2-x12+y2-y12....1

03

Step 3. Calculation.

The distanced between the pair of points with given coordinates2,-4and10,-10 is evaluated using the formula (1) stated above.

d=x2鈭�x12+y2鈭�y12=10鈭�22+鈭�10+42=82+鈭�62=100=10units
04

Step 4. Conclusion.

The distance between the given pair of points is10units.

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