Chapter 9: Q. 1 (page 621)

The distance $d$ from $P_{1} = (x_{1}, y_{1})$ to $P_{2} = (x_{2}, y_{2})$ is $d$ = _______ .

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information

We have been given two points $P_{1} = (x_{1}, y_{1})$ and $P_{2} = (x_{2}, y_{2})$

We have to find the distance $d$ between these two points.

Step 2. Find the distance between these two points.

Sketch these points on the coordinate axis.

The distance required between $P_{1} P_{2}$ is $d$ .

The distance between $P_{1} P_{3}$ is $|x_{2} - x_{1}|$

The distance between $P_{2} P_{3}$ is $|y_{2} - y_{1}|$

Using Pythagoras theorem,
role="math" localid="1646804280597" $d^{2} = {(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2} d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

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The distance $d$ from $P_{1} = (x_{1}, y_{1})$ to $P_{2} = (x_{2}, y_{2})$ is $d$ = _______ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the distance between these two points.

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The distance dfrom P1=x1,y1to P2=x2,y2 is d = _______ .

Short Answer

Step by step solution

Step 1. Given information

Step 2. Find the distance between these two points.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Pure Maths

Decision Maths

Probability and Statistics

Logic and Functions

Applied Mathematics

Study anywhere. Anytime. Across all devices.

The distance $d$ from $P_{1} = (x_{1}, y_{1})$ to $P_{2} = (x_{2}, y_{2})$ is $d$ = _______ .