If A and B are two points on the circle x^2+y^2-4x+6y-3=0 which are farthest and nearest respectively from the point (7,2) then

JEE Advanced Mathematics question

If A and B are two points on the circle which are farthest and nearest respectively from the point then

Answer: (A),(B)

Centre , radius . For the point : , , so is outside. The nearest and farthest points lie on line , at distance 4 from along the unit vector :

B\ (\text{neares

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Question ID VK-108971