Given that a straight line in the -plane passes through the point in the first quadrant and intersects the positive - and -axes at points and respectively. Let designate the origin.
Find the minimum value of .
The line passes through the point and intersects point on the line whose equation is . The equation of the line is (with and all coprime) and constructed so that the distance from to is the same as the distance from to .
What is the minimum positive value of ?
Note: are all different points in the coordinate plane.
The equation above represents a pair of lines that intersect on the -axis. Find the value of .
There exist two ordered triples for which represents a pair of identical straight lines in the -plane.
If these triples are and , then find the value of .
Given that a straight line in the -plane passes through the point in the first quadrant and intersects positive - and -axes at points and respectively. Let designate the origin.
Find the minimum value of .