Question

Number of lines that can be drawn through the point (4, -5) so that its distance from (-2, 3) will be equal to 12 is equal to _________.

• A. 0
• B. 1
• C. 2
• D. 3

Answer 1

The correct option is A 0

Distance between $(4,-5)$ and $(-2,3)$ is $\sqrt{(x_2-x_1{)}^2+(y_2-y_1{)}^2}$

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

$=\sqrt{36+64}$

$=10$

$\therefore$ It can never be $12$ and so line will

be There whose distance from $(-2,3)$ and

passing The angle $(4,-5)$ will be $12$