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 .
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Add them up and you have your answer
Answer with explanation:
It is given that, there is positive correlation between drinking coconut milk and eating potato chips.
→Correlation coefficient is denoted by r.
→The value of r lies between , -1 and 1 which is represented as , -1 ≤r≤1.
→Correlation that is relation between two variables is said to be strongly positive, if r is equal to 1, and it is said to be strongly weak, if it is equal to -1 , and said to have no association if r=0.
→ The meaning of positive correlation is that value of r, is greater than >0.8 but less than 1.
The two variables which are positively correlated ,can have following relationship.
1. With increase in one other increases.
2.With decrease in one other decreases.
3. Slope will be a linear that is a straight line not passing through origin.