The number of lines that can be drawn through the point $(4,-5)$ at a distance of 10 units from the point…
The number of lines that can be drawn through the point $(4,-5)$ at a distance of 10 units from the point $(1,3)$ is
$1$
$0$
$2$
$\infty$
Solution
The point are $(4,-5)$ and $(1,3)$.
Distance between two points are
$\sqrt{(4-1)^2+(-5-3)^2}$
$=\sqrt{9+64}=\sqrt{73}$
Distance between points are less than 10 .
$\therefore$ No line can be drawn through the point $(4,-5)$
at a distance of 10 units from the point $(1,3)$.