The intersection of the spheres `x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2=z^2-3x+3y+4z=8` is the same as the intersection of one of the spheres and the plan
The intersection of the
spheres `x^2+y^2+z^2+7x-2y-z=13a n dx^2+y^2=z^2-3x+3y+4z=8`
is the same as the intersection of one of
the spheres and the plane
a. `x-y-z=1`
b. `x-2y-z=1`
c. `x-y-2z=1`
d. `2x-y-z=1`
A. `x-y-z=1`
B. `x-2y-z=1`
C. `x-y-2z=1`
D. `2x-y-z=1`
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Correct Answer - d
The given spheres are
`x^(2)+y^(2)+7x-2y-z-13=0" "(i)`
and `x^(2)+y^(2)+z^(2)-3x+3y+2-8=0" "(ii)`
Subtracting (ii) from (i), we get
`10x-5y-5z-5=0`
or `2x-y-z=1`
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