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Mathematics
Mathematics
Problem
Let the area of the triangle with vertices
A
(
1
,
α
)
A(1, \alpha)
A
(
1
,
α
)
,
B
(
α
,
0
)
B(\alpha, 0)
B
(
α
,
0
)
and
C
(
0
,
α
)
C(0, \alpha)
C
(
0
,
α
)
be 4 sq. units. If the points
(
α
,
−
α
)
(\alpha, -\alpha)
(
α
,
−
α
)
,
(
−
α
,
α
)
(-\alpha, \alpha)
(
−
α
,
α
)
and
(
α
2
,
β
)
(\alpha^2, \beta)
(
α
2
,
β
)
are collinear, then
β
\beta
β
is equal to (a) 64 (b) -8 (c) -64 (d) 512
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