Question

The positive solutions of the equation ux + vy = w always lie in which quadrant?

Answer 1

Step 1

It is given that the solution of the equation is positive, it means the values of the x and y is positive.

Therefore, x>0 and y>0

Step 2

Since we know that if the values of x and y in the first quadrant is positive, i.e. greater than 0 and

hence we can say that the positive solutions of the equation px + qy + r = 0 always lie in first

quadrant as shown below.

thus they lie in the first Quadrant