Chapter 8: Q43. (page 416)

What is the distance between the $A (4, - 2) and (- 4, - 8)$ .
localid="1648622424791" $\begin{array}{l} (A) 6 (B) 8 \\ (C) 10 (D) 14 \end{array}$

Short Answer

Expert verified

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

Step by step solution

Step 1. Write down the given information.

The given pair of points have coordinates $A (4, - 2) and (- 4, - 8)$ .

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:

Step 3. Calculation.

The distance $(d)$ between the pair of points with given coordinates $A (4, - 2) and (- 4, - 8)$ is evaluated using the formula (1) stated above.

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

Step 4. Conclusion.

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

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What is the distance between the $A (4, - 2) and (- 4, - 8)$ .
localid="1648622424791" $\begin{array}{l} (A) 6 (B) 8 \\ (C) 10 (D) 14 \end{array}$

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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What is the distance between the A4,-2and-4,-8.localid="1648622424791" A6B8C10D14

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

Mechanics Maths

Calculus

Applied Mathematics

Probability and Statistics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

What is the distance between the $A (4, - 2) and (- 4, - 8)$ .
localid="1648622424791" $\begin{array}{l} (A) 6 (B) 8 \\ (C) 10 (D) 14 \end{array}$