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Chapter 8: Q43. (page 416)

What is the distance between the A4,-2and-4,-8.

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Short Answer

Expert verified

The distance between the given pair of points is 10units. Hence option (C) is correct.

Step by step solution

01

Step 1. Write down the given information.

The given pair of points have coordinates A4,-2and-4,-8.

02

Step 2. Concept used.

If a line segment has end-points atx1,y1andx2,y2 then the distance dbetween these points is given as:

03

Step 3. Calculation.

The distance dbetween the pair of points with given coordinatesA4,-2and-4,-8is evaluated using the formula (1) stated above.

d=x2鈭�x12+y2鈭�y12=鈭�4鈭�42+鈭�8+22=鈭�82+鈭�62=10units
04

Step 4. Conclusion.

The distance between the given pair of points is 10units. So, option (C) is correct.

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