1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$A = \left( {\matrix{ 3 & {x - 1} \cr {2x + 3} & {x + 2} \cr } } \right)$$ is a symmetric matrix, then the value of x is

A
4
B
3
C
$$-$$4
D
$$-$$3
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If $$z = \left| {\matrix{ 1 & {1 + 2i} & { - 5i} \cr {1 - 2i} & { - 3} & {5 + 3i} \cr {5i} & {5 - 3i} & 7 \cr } } \right|$$, then $$(i = \sqrt { - 1} )$$

A
z is purely real
B
z is purely imaginary
C
$$z + \overline z = 0$$
D
$$(z - \overline z )i$$ is purely imaginary
3
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

If one of the cube roots of 1 be $$\omega$$, then $$\left| {\matrix{ 1 & {1 + {\omega ^2}} & {{\omega ^2}} \cr {1 - i} & { - 1} & {{\omega ^2} - 1} \cr { - i} & { - 1 + \omega } & { - 1} \cr } } \right| = $$

A
$$\omega$$
B
i
C
1
D
0
4
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

$$\left| {\matrix{ {a - b} & {b - c} & {c - a} \cr {b - c} & {c - a} & {a - b} \cr {c - a} & {a - b} & {b - c} \cr } } \right| = $$

A
0
B
$$-$$1
C
1
D
2
WB JEE Subjects
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
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CBSE
Class 12