Question

The length of the perpendicular from the origin to the line $3x+4y-10=0$ is:

• A. 2
• B. 10
• C. 5
• D. 1

Hint:

(3, 4, 5) is a Pythagorean triplet, so $\sqrt{3^2 + 4^2}$ is always 5.

Answer 1

The Correct Option is A

Step 1: Concept
Distance $d = \frac{|c|}{\sqrt{a^{2}+b^{2}}}$.
Step 2: Analysis
$d = \frac{|-10|}{\sqrt{3^{2}+4^{2}}} = \frac{10}{\sqrt{9+16}}$.
Step 3: Conclusion
$d = 10 / 5 = 2$.
Final Answer: (A)