JEE Advanced Mathematics question
The number of common tangents to the circles one of which passes through the origin and cuts off intercepts 2 from each of the axes, and the other circle has the line segment joining the origin and the point as a diameter, is
Answer: (B)
Solution
The first circle passes through , , (intercepts on the axes). Since at the origin between the axes is , the chord joining is a diameter: centre , , i.e. .
Second circle (diameter form): ,
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