A) (0, 0)
B) (0, 1)
C) (1, 0)
D) (-1, 1)
Correct Answer: A
Solution :
Given lines are \[x+y=1\] and \[xy=0\] when \[x=0\], then \[y=1\] when \[x=1\], then \[y=0\]
\[\therefore \] (0, 1) and (1, 0) are the vertices of triangle. Clearly, triangle is right-angled isosceles. Orthocentre of right-angled triangle is same as the vertex of right angle. Therefore point of intersection of \[x+y=1\] and \[xy=0\]is (0, 0).
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