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Question

The circle passing through the point (1,0) and touching the yaxis at (0,2) also passes through the point

A
Option a missing
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B
(4,0)
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C
Option b missing
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D
Option c missing
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Solution

The correct option is B (4,0)

The equation of the circle directing yaxis at (0,2) can be put in the form
(xh)2+(y2)2=h2
which will pass through (1,0) if
(1h)2+4=h2
h=52
Thus the equation of the circle is
(x+52)2+(y2)2=(52)2
which passes through (4,0)

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