JEE Advanced Mathematics question
Let and be two distinct points on the parabola . If the axis of the parabola touches a circle of radius having as its diameter then the slope of the line can be
Answer: (C),(D)
Solution
Take , . Slope of .
The centre of the circle is the midpoint of , whose -coordinate is . The circle touches the axis , so the radius equals the distance of the centre from it: , i.e.
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