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Mathematics
Mathematics
Problem
Consider the fixed point
P
(
4
,
3
)
P(4,3)
P
(
4
,
3
)
and a variable point
Q
(
x
,
0
)
Q(x,0)
Q
(
x
,
0
)
on the
x
x
x
-axis. Which of the following expressions represents the square of the distance
P
Q
PQ
P
Q
in terms of
x
x
x
? a)
(
x
−
4
)
2
+
3
(x-4)^2+3
(
x
−
4
)
2
+
3
b)
x
2
+
25
x^{2}+25
x
2
+
25
c)
(
x
−
4
)
2
+
3
2
(x-4)^2+3^{2}
(
x
−
4
)
2
+
3
2
d)
(
x
+
4
)
2
+
9
(x+4)^2+9
(
x
+
4
)
2
+
9
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