JEE Advanced Mathematics question
The equation of a diameter of a circle passing through the origin is and the greatest distance of any point of the circle from the diameter is . Then an equation of the circle is
Answer: (B)
Solution
The greatest distance of a point of the circle from a diameter equals the radius, so . The centre lies on the diameter : take it as . The circle passes through , so
+ (1- = 5 ⇒ - 2t - 4 = 0 ⇒ - t
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