A) 5 unit
B) 12 unit
C) \[\frac{5}{12}\]unit
D) \[\frac{12}{5}\]unit
Correct Answer: D
Solution :
Given, 3, 4 are intercepts of a line. \[\therefore \] Equation of line is \[\frac{x}{3}+\frac{y}{4}=1\] \[\Rightarrow \] \[4x+3y-12=0\] Now, distance from origin is \[\left| \frac{4\times 0+3\times 0-12}{\sqrt{{{3}^{2}}+{{4}^{2}}}} \right|=\frac{12}{5}\,unit\]
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