Question

Number of line that can be drawn through the point $(4,5)$ so that is distance from $(-2,3)$ will be equal to $12$ ?

• A. True
• B. False

Answer 1

The correct option is B False

Maximum distance between A & line through B is obtained in case of $L_1$

($L_1$ is perpendicular to AB)

In case of other lines

length of perpendicular from A to line will be less than AB

(as hypotenuse will always be greater than other $2$ sides)

$\therefore$ Maximum distance is AB itself

$AB=\sqrt{(4+2{)}^2+(5-3{)}^2}=\sqrt{6^2+2^2}$

$AB=\sqrt{40}<12$

Distance between A & line through B can never be $12$.