Question

The distance of the point \(P(-6, 8)\) from the origin is:

• A. 8
• B. 6
• C. 2
• D. 10

Hint:

To calculate the distance of a point from the origin, use the distance formula \(d = \sqrt{x^2 + y^2}\), where \(x\) and \(y\) are the coordinates of the point.

Answer 1

The Correct Option is D

The distance of a point \(P(x, y)\) from the origin \((0, 0)\) is given by the distance formula: \[ d = \sqrt{x^2 + y^2} \] Here, the coordinates of the point \(P\) are \((-6, 8)\). Substitute \(x = -6\) and \(y = 8\) into the distance formula: \[ d = \sqrt{(-6)^2 + 8^2} = \sqrt{36 + 64} = \sqrt{100} = 10 \]
Step 2: Conclusion.
Therefore, the distance of the point \(P(-6, 8)\) from the origin is 10 units. Final Answer:} 10.