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Question

The standard equation of the circle whose parametric equation are x=55sint and y=4+5cost is

A
(x+5)2+(y4)2=25
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B
(x5)2+(y4)2=25
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C
(x5)2+(y+4)2=25
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D
(x+5)2+(y+4)2=25
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Solution

The correct option is B (x5)2+(y4)2=25
Given x=55sint,y=4+5cost
x55=sint, (1)y45=cost (2)
Squaring and adding equations (1) and (2)
(x5)252+(y4)252=(sint)2+(cost)2 (x5)2+(y4)2=25

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