Question

Distance between the points (4,-8), (5,-2) is

• A. \(\sqrt{101}\)
• B. \(\sqrt{35}\)
• C. \(\sqrt{35}\)
• D. \(\sqrt{181}\)

Answer 1

The Correct Option is C

To solve the problem, we need to find the distance between the two given points: \( (4, -8) \) and \( (5, -2) \).

1. Understanding the Distance Formula:
The distance \(d\) between two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:

\( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \)

2. Substituting the Values:
Here, \( x_1 = 4, y_1 = -8, x_2 = 5, y_2 = -2 \)
So,

\( d = \sqrt{(5 - 4)^2 + (-2 - (-8))^2} \)

3. Simplifying the Expressions:
\( d = \sqrt{(1)^2 + (6)^2} \)
\( d = \sqrt{1 + 36} \)

4. Final Calculation:
\( d = \sqrt{37} \)

Final Answer:
The distance between the points is \( \sqrt{37} \)