the line x/2+y/4=1 intersects the axes at p and q the coordinates of midpoint pq are - Maths - Coordinate Geometry

Question

the line x/2+y/4=1 intersects the axes at p and q the
coordinates of midpoint pq are?

Priyanka Kedia · Accepted Answer

Given, the line x2+y4=1 intersects the axes at P and Q When the
line intersects x-axis at point P, then y=0So,x2+04=1
⇒x=2Thus, point P=2,0And,When the line intersects y-axis at
point Q, then x=0So,02+y4=1 ⇒y=4Thus, the point Q=0,4Now, mid
point of PQ=2+02,0+42=1,2Hence, mid point of PQ is 1,2

the line x/2+y/4=1 intersects the axes at p and q the coordinates of midpoint pq are?