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  • The nearest point on the line from the origin is -  <div clas

The nearest point on the line \mathrm{3 x-4 y=12} from the origin is -
 

Option: 1

\left(\frac{36}{25}, \frac{48}{25}\right)


 


Option: 2

\left(3, \frac{3}{4}\right)
 


Option: 3

\left(2, \frac{3}{2}\right)
 


Option: 4

\text{None of these}


Answers (1)

best_answer

If ' \mathrm{D} ' be the foot of altitude, drawn from origin to the given line, then ' \mathrm{D} ' is the required point.

Let\mathrm{\angle \mathrm{OBA}=\theta \Rightarrow \tan \theta=\frac{4}{3} \Rightarrow \angle \mathrm{DOA}= \theta \: \: we\: \: have \: \: \mathrm{OD}=\frac{12}{5}.}

Hence option 1 is correct.

Posted by

Divya Prakash Singh

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