The positive solutions of the equation

Question:

The positive solutions of the equation ax + by + c = 0 always lie in the

(a) Ist quadrant          

(b) IInd quadrant        

(c) IIIrd quadrant        

(d) IVth quadrant

Solution:

(a) We know that, if a line passes through the Ist quadrant, then all solution lying on the line in first quadrant must be positive because the coordinate

of all points in the Ist quadrant are positive.

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