ntervals of Hundredths (3.30)2 10.89 (3.31)2 10.96 (3.32)2 11.02 (3.33)2 11.09 (3.34)2 11.16 (3.35)2 11.22 (3.36)2 11.29 (3.37)2
2 answers:
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Given :
Center of sphere , C( 1 , -1 , 6 ) .
To Find :
Find equations of the spheres with center (1, −1, 6) that touch the following planes.a) xy-plane b) yz-plane c) xz-plane .
Solution :
a)
Distance of the point from xy-plane is :
d = 6 units .
So , equation of circle with center C and radius 6 units is :
b)
Distance of point from yz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
c)
Distance of point from xz-plane is :
d = 1 unit .
So , equation of circle with center C and radius 1 units is :
Hence , this is the required solution .