If the circle passing through the points (0,0), (1,0) and (0,1) also passes through the point ( , 1 ) then is

JEE Advanced Mathematics question

If the circle passing through the points , and also passes through the point then is

Answer: (A)

The circle is (its diameter joins and , since the angle at the origin is ). Substituting :

λ^2+1{λ^2

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Question ID VK-110187