Question

Find the distance between the pair of points
1.2) and (4.2)​

Answer 1

Answer: Distance between two points= 3 unit.

Step-by-step explanation:

When, two points are A(x1, y1), B(x2, y2)

AB= √{(x2-x1)^2 +( y2-y1)^2}

So, distance = √{(4-1)^2 + (2-2)^2}

= √{(3^2)+ 0}

= √9

= 3 unit

Answer 2

Given:-

• Coordinates = (1, 2) and (4, 2)

To find:-

The distance between the two points.

Assumption:-

Let A and B be the points on (1, 2) and (4, 2) respectively.

Solution:-

To find the distance between two points we use a formula called distance formula.

Distance formula = $\sf{\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

Here in the given coordinates:-

$\sf{x_1 = 1\:\:and\:\:y_1 = 2}$

$\sf{x_2 = 4\:\:and\:\:y_2 = 2}$

Putting the values in the formula,

$\sf{\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

= $\sf{\sqrt{(4-1)^2 + (2-2)^2}}$

= $\sf{\sqrt{(3)^2 + 0}}$

= $\sf{\sqrt{9}}$

= $\sf{3\:units}$

Therefore the distance between the points (1, 2) and (4, 2) is of 3 units.

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Explore More!!!

→ What is $\sf{x_1, x_2, y_1, y_2}$?

✓ $\sf{x_1}$ is the abscissa of the first coordinate point.

$\sf{y_1}$ is the ordinate of the first coordinate point.

$\sf{x_2}$ is the abscissa of the second coordinate point.

$\sf{y_2}$ is the ordinate of the second coordinate point.

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✭ The coordinate points (0, 0) on a graph is known as origin.

✭ x-axis is known as abscissa.

✭ y-axis is known as ordinate.

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→ Formula to find distance between two points:-

$\sf{\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}}$

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