JEE Advanced Mathematics question

The equation of a circle is . The centre of the smallest circle touching this circle and the line has the coordinates

(A)Correct
(B)
(C)
(D)none of these

Answer: (A)

Solution

*(Figure: circle centre O(0, 0), radius 2; the perpendicular from O to the line meets the circle at B and the line at A; the small dotted circle with centre C fills the gap BA.)*

Distance of O from : . The circle and the line do not meet (), and the gap

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Question ID VK-108950