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Chapter 8: Q28. (page 415)

Find the distance between the pair of points with the given coordinates $(0.23, 0.4) and (0.68, - 0.2)$ .

Short Answer

Expert verified

The distance between the given pair of points is $\frac{3}{4} units$ .

Step by step solution

01

Step 1. Write down the given information.

The given pair of points have coordinates $(0.23, 0.4) and (0.68, - 0.2)$ .

02

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:

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

03

Step 3. Calculation.

The distance $(d)$ between the pair of points with given coordinates $(0.23, 0.4) and (0.68, - 0.2)$ is evaluated using the formula (1) stated above.

\begin{matrix} |d| = \sqrt{{(x_{2} 鈭� x_{1})}^{2} + {(y_{2} 鈭� y_{1})}^{2}} \\ = \sqrt{{(0.68 鈭� 0.23)}^{2} + {(鈭� 0.2 鈭� 0.4)}^{2}} \\ = \frac{3}{4} units \end{matrix}

04

Step 4. Conclusion.

The distance between the given pair of points is $\frac{3}{4} units$ .

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Most popular questions from this chapter

Graph the function $y = \sqrt{x - 2}$ and then state the domain and range of the function.

Which of the following point is closest to $(2, - 4)$ .

role="math" localid="1648203269021"

\begin{array}{l} (A) (3, 1) (B) (鈭� 2, 0) \\ (C) (1, 5) (D) (4, 鈭� 2) \end{array}

Find the midpoint of line segment with endpoints at given coordinates $(\frac{1}{3}, \frac{3}{4}) and (- \frac{1}{4}, - \frac{1}{2})$ .

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$(A) (8, 1) (B) (7, - 4) (C) (2, - 3) (D) (4, \frac{1}{2})$

Find the midpoint of line segment with endpoints at given coordinates $(6, - 5) and (- 2, - 7)$ .

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