Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
JEE Advanced 2016 Paper 1 Mathematics Q14
Mathematics
Problem
The total number of distinct
x
∈
R
x\in\mathbb R
x
∈
R
for which
∣
x
x
2
1
+
x
3
2
x
4
x
2
1
+
8
x
3
3
x
9
x
2
1
+
27
x
3
∣
=
10
\begin{vmatrix}x&x^2&1+x^3\\2x&4x^2&1+8x^3\\3x&9x^2&1+27x^3\end{vmatrix}=10
x
2
x
3
x
x
2
4
x
2
9
x
2
1
+
x
3
1
+
8
x
3
1
+
27
x
3
=
10
is
Browse the problem library