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Question: Answered & Verified by Expert
If 3 and 4 are intercepts of a line $L \equiv 0$, then the distance of $L \equiv 0$ from the origin is
MathematicsStraight LinesCOMEDKCOMEDK 2021
Options:
  • A 5 units
  • B 12 units
  • C $\frac{5}{12}$ unit
  • D $\frac{12}{5}$ units
Solution:
1894 Upvotes Verified Answer
The correct answer is: $\frac{12}{5}$ units
Equation of line is $\frac{x}{3}+\frac{y}{4}=1 \Rightarrow 4 x+3 y-12=0$ Now, distance from origin $=\left|\frac{4 \times 0+3 \times 0-12}{\sqrt{3^{2}+4^{2}}}\right|=\frac{12}{5}$ units

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