1. Tardigrade
  2. Question
  3. Mathematics
  4. Given the family of lines, a (3 x +4 y +6)+ b ( x + y +2)=0. The line of the family situated at the greatest distance from the point P (2,3) has equation -

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Given the family of lines, $a (3 x +4 y +6)+ b ( x + y +2)=0$. The line of the family situated at the greatest distance from the point $P (2,3)$ has equation -

Straight Lines

Solution:

$L _1: 3 x +4 y +6=0$
$L _2: x + y +2=0$
image
Line situated at greatest distance from $P (2,3)$ is the line passing through point of intersection (Q) of the given lines and perpendicular to $PQ$.