Question:
The length of the perpendicular from the origin to the line $3x+4y-10=0$ is:
The length of the perpendicular from the origin to the line $3x+4y-10=0$ is:
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(3, 4, 5) is a Pythagorean triplet, so $\sqrt{3^2 + 4^2}$ is always 5.
Updated On: Apr 8, 2026
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The Correct Option is A
Solution and Explanation
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)
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)
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