Question

The distance of the point \((-3, -4)\) from the origin will be

• A. \(-3\)
• B. \(-4\)
• C. \(5\)
• D. \(6\)

Hint:

The distance of any point \((x, y)\) from the origin is always positive and given by \(\sqrt{x^2 + y^2}\).

Answer 1

The Correct Option is C

Step 1: Recall the distance formula.
Distance between \((x_1, y_1)\) and origin \((0, 0)\) is given by \[ d = \sqrt{x_1^2 + y_1^2} \]
Step 2: Substitute the values.
\[ d = \sqrt{(-3)^2 + (-4)^2} = \sqrt{9 + 16} = \sqrt{25} = 5 \]
Step 3: Conclusion.
Hence, the distance of the point \((-3, -4)\) from the origin is \(5\).