1
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If 2 log(x + 1) $$ - $$ log(x2 $$ - $$ 1) = log 2, then x =
A
only 3
B
$$ - $$1 and 3
C
only $$ - $$1
D
1 and 3
2
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The number of complex numbers p such that $$\left| p \right| = 1$$ and imaginary part of p4 is 0, is
A
4
B
2
C
8
D
infinitely many
3
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The equation $$z\bar z + (2 - 3i)z + (2 + 3i)\bar z + 4 = 0$$ represents a circle of radius
A
2 unit
B
3 unit
C
4 unit
D
6 unit
4
WB JEE 2020
MCQ (Single Correct Answer)
+1
-0.25
Change Language
The expression ax2 + bx + c (a, b and c are real) has the same sign as that of a for all x if
A
b2 $$ - $$ 4ac > 0
B
b2 $$ - $$ 4ac $$ \ne $$ 0
C
b2 $$ - $$ 4ac $$ \le $$ 0
D
b and c have the same sign as that of a
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