question_answer

The equation of the line joining origin to the points of intersection of the curve \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\] and \[{{x}^{2}}+{{y}^{2}}-ax-ay=0\] is   

A)            \[{{x}^{2}}-{{y}^{2}}=0\] 

B)            \[xy=0\]

C)            \[xy-{{x}^{2}}=0\]              

D)            \[{{y}^{2}}+xy=0\]

Correct Answer: B

Solution :

           Clearly from figure \[xy=0\] represents the pair of straight lines.            i.e., combined equation of both axes.