Answer:
Slope: m = 0
Equation: y = 3
Step-by-step explanation:
The equation of a line has the following format:
In which m is the slope.
We choose two points which the equation crosses.
I am going to choose (0,3) and (1,3)
(0,3)
When x = 0, y = 3. So
(1,3)
When x = 1, y = 3. So
Slope: m = 0
Equation: y = 3
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 .