Question

On a plane are two points $A$ and $B$ at a distance of $5$ units apart. The number of straight lines in this plane which are at distance of $2$ units from $A$ and $3$ units from B are:

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

The correct option is C $3$

Both A and B lie on a straight line.

There can be three lines that are at a distance of $2$ units from $A$ and $3$ units from B.
These lie one above the two points, other below the two points, and one line in between the two points $A$ and $B$.