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Mathematics
Mathematics
Problem
Equation of the sphere having centre at
(
3
,
6
,
−
4
)
(3, 6, -4)
(
3
,
6
,
−
4
)
and touching the plane
r
⋅
(
2
i
^
−
2
j
^
−
k
^
)
=
10
\mathbf{r} \cdot (2\hat{i} - 2\hat{j} - \hat{k}) = 10
r
⋅
(
2
i
^
−
2
j
^
−
k
^
)
=
10
, is
(
x
−
3
)
2
+
(
y
−
6
)
2
+
(
z
+
4
)
2
=
k
2
(x - 3)^2 + (y - 6)^2 + (z + 4)^2 = k^2
(
x
−
3
)
2
+
(
y
−
6
)
2
+
(
z
+
4
)
2
=
k
2
, where
k
k
k
is equal to a. 3 b. 4 c. 6 d.
17
\sqrt{17}
17
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