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Q.

The xy-plane cuts the sphere x2+y2+z2−2x−4y+6z−4=0 in a circle, the radius of which is

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a

2

b

3

c

4

d

5

answer is B.

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Detailed Solution

Given sphere is  x2+y2+z2−2x−4y+6z−4=0Since it cots the ry-plane where z:0, equation of circular section is x2+y2+z2−2x−4y−4=0The radius of the circle is 1+4−(−4)=9=3
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