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Mathematics
Mathematics
Problem
If
(
1
+
α
x
)
n
=
1
+
8
x
+
24
x
2
+
…
(1 + \alpha x)^n = 1 + 8x + 24x^2 + \dots
(
1
+
α
x
)
n
=
1
+
8
x
+
24
x
2
+
…
and a line through
P
(
α
,
n
)
P(\alpha, n)
P
(
α
,
n
)
cuts the circle
x
2
+
y
2
=
4
x^2 + y^2 = 4
x
2
+
y
2
=
4
in A and B, then
P
A
⋅
P
B
PA \cdot PB
P
A
⋅
P
B
is equal to a. 4 b. 8 c. 16 d. 32
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