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Question

A point on the line (x,y)=(3+rcosπ6,2+rsinπ6) which is at a distance of 2 units from the point (3,2) is

A
(3+3,3)
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B
(33,1)
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C
(33,3)
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D
(3+3,1)
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Solution

The correct option is B (33,1)

(x,y)=(3+rcosπ6,2+rsinπ6)
x=3+rcosπ6
y=2+rsinπ6

There exist two points which are at a distance of 2 units from (3,2)
x=3±2cosπ6
y=2±2sinπ6

(x,y)=(3+3,3) or (33,1)

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