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JEE Advanced 2015 Paper 1 Mathematics Q10
Mathematics
Problem
Which of the following values of
α
\alpha
α
satisfy the equation
∣
(
1
+
α
)
2
(
1
+
2
α
)
2
(
1
+
3
α
)
2
(
2
+
α
)
2
(
2
+
2
α
)
2
(
2
+
3
α
)
2
(
3
+
α
)
2
(
3
+
2
α
)
2
(
3
+
3
α
)
2
∣
=
−
648
α
?
\begin{vmatrix}(1+\alpha)^2&(1+2\alpha)^2&(1+3\alpha)^2\\(2+\alpha)^2&(2+2\alpha)^2&(2+3\alpha)^2\\(3+\alpha)^2&(3+2\alpha)^2&(3+3\alpha)^2\end{vmatrix}=-648\alpha\ ?
(
1
+
α
)
2
(
2
+
α
)
2
(
3
+
α
)
2
(
1
+
2
α
)
2
(
2
+
2
α
)
2
(
3
+
2
α
)
2
(
1
+
3
α
)
2
(
2
+
3
α
)
2
(
3
+
3
α
)
2
=
−
648
α
?
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