Distance Between Two Points

The distance between two points $A(x_1%2C%20y_1)$ and $B(x_2%2C%20y_2)$ is given by the distance formula:

$d%20%3D%20%5Csqrt%7B(x_2%20-%20x_1)%5E2%20%2B%20(y_2%20-%20y_1)%5E2%7D$

Given:

Point A: $(3%2C%204)$
Point B: $(-1%2C%20-2)$

Step 1: Apply the distance formula

Substitute the values of $x_1%2C%20y_1%2C%20x_2%2C$ and $y_2$ : $d%20%3D%20%5Csqrt%7B((-1)%20-%203)%5E2%20%2B%20((-2)%20-%204)%5E2%7D$ Simplifying the terms inside the parentheses: $d%20%3D%20%5Csqrt%7B(-4)%5E2%20%2B%20(-6)%5E2%7D$ $d%20%3D%20%5Csqrt%7B16%20%2B%2036%7D%20%3D%20%5Csqrt%7B52%7D$ $d%20%3D%20%5Csqrt%7B4%20%5Ctimes%2013%7D%20%3D%202%5Csqrt%7B13%7D$

✅ Final Answer:

The distance between the points $A(3%2C4)$ and $B(-1%2C-2)$ is $%5Cboxed%7B2%5Csqrt%7B13%7D%7D$ .

High-Yield Trend

Chapter Questions
1 MCQs

Official Solution

Step 1: Apply the distance formula

✅ Final Answer:

Distance Between Two Points

High-Yield Trend

Chapter Questions 1 MCQs

Official Solution

Step 1: Apply the distance formula

✅ Final Answer:

Chapter Questions
1 MCQs