JEE Advanced Mathematics question

MathematicsCircleJEE Advanced

Circles and cut off equal intercepts on a line through the point . The slope of the line is

Answer: (C)

Solution

Line: , i.e. .

Circle 1: centre , radius 1; distance . Circle 2: centre , radius ; distance .

The intercept on a line at distance from the centre of a circle of

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Question ID VK-108968