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Mathematics
Mathematics
Problem
The line
x
=
y
=
z
x = y = z
x
=
y
=
z
meets the plane
x
+
y
+
z
=
1
x + y + z = 1
x
+
y
+
z
=
1
at the point
P
P
P
and the sphere
x
2
+
y
2
+
z
2
=
1
x^2 + y^2 + z^2 = 1
x
2
+
y
2
+
z
2
=
1
at the points
R
R
R
and
S
S
S
, then a.
P
R
+
P
S
=
2
PR + PS = 2
P
R
+
P
S
=
2
b.
P
R
×
P
S
=
2
3
PR \times PS = \frac{2}{3}
P
R
×
P
S
=
3
2
c.
P
R
=
P
S
PR = PS
P
R
=
P
S
d.
P
R
+
P
S
=
R
S
PR + PS = RS
P
R
+
P
S
=
R
S
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