Question

2.
Consider a family of straight lines (x + y) 2x
- y - 1) = 0. Find the equation of the straight
line belonging to this family that is tarthest from (1,3)​

Answer 1

Answer:

Step-by-step explanation:

Let the point of intersection of the family of lines be P. If solve :

{x+y=02x−y+1=0

We get the point of intersection which is P(−13,13)

Now let us denote the point (1,−3) as Q. So, now how to find λ so that this will be fartheset from Q.

If we see the slope of PQ=mPQ=−52

Any line perpendicular to PQ will have slope 25