Chapter 8: Q6. (page 414)

Find the distance between the pair of points $(2, - 4) and (10, - 10)$ with the given coordinates.

Short Answer

Expert verified

The distance between the given pair of points is $10 units$ .

Step by step solution

Step 1. Write down the given information.

The given pair of points have coordinates $(2, - 4) and (10, - 10)$ .

Step 2. Concept used.

If a line segment has end-points at $(x_{1}, y_{1}) and (x_{2}, y_{2})$ then the distance $(d)$ between these points is given as:

$|d| = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} . . . . (1)$

Step 3. Calculation.

The distance $(d)$ between the pair of points with given coordinates $(2, - 4) and (10, - 10)$ is evaluated using the formula (1) stated above.

\begin{matrix} |d| = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}} \\ = \sqrt{{(10 - 2)}^{2} + {(- 10 + 4)}^{2}} \\ = \sqrt{{(8)}^{2} + {(- 6)}^{2}} \\ = \sqrt{100} \\ = 10 units \end{matrix}

Step 4. Conclusion.

The distance between the given pair of points is $10 units$ .

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Find the distance between the pair of points $(2, - 4) and (10, - 10)$ with the given coordinates.

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

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

Short Answer

Step by step solution

Step 1. Write down the given information.

Step 2. Concept used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Calculus

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Study anywhere. Anytime. Across all devices.

Find the distance between the pair of points $(2, - 4) and (10, - 10)$ with the given coordinates.