A line is drawn through the point

Question:

A line is drawn through the point $(1,2)$ to meet the coordinate axes at $P$ and $Q$ such that it forms a triangle $\mathrm{OPQ}$, where $\mathrm{O}$ is the origin. If the area of the triangle $\mathrm{OPQ}$ is least, then the slope of the line $P Q$ is :

  1. $-\frac{1}{2}$

  2. $-\frac{1}{4}$

  3. $-4$

  4. $-2$


Correct Option: , 4

Solution:

Let the equationof line be $\frac{x}{a}+\frac{y}{b}=1$

It passes through $(1,2)$

Leave a comment

Close
faculty

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now