Question

The distance of the point (−4, −3) from the origin is:

Options

• −10 units

• 10 units

• \(\sqrt{4^2-3^2}\)

• None of these

Answer 1

None of these

Explanation:

The distance from the origin (0, 0) to the point (−4, −3) is determined using the distance formula:

\[d = \sqrt{(-4 - 0)^2 + (-3 - 0)^2}\]

\[d = \sqrt{(-4)^2 + (-3)^2}\]

\[d = \sqrt{16 + 9}\]

\[d = \sqrt{25}\]

d = 5 units

Since the calculated distance of 5 units does not match option (i) −10 unit, option (ii) 10 unit, or option (iii) \[\sqrt{4^2 - 3^2}\] (which evaluates to \[\sqrt{7}\], none of the specific values provided are correct.