1
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the four complex numbers $$z,\overline z ,\overline z - 2{\mathop{\rm Re}\nolimits} \left( {\overline z } \right)$$ and $$z-2Re(z)$$ represent the vertices of a square of side 4 units in the Argand plane, then $$|z|$$ is equal to :
A
4$$\sqrt 2 $$
B
4
C
2
D
2$$\sqrt 2 $$
2
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The negation of the Boolean expression x $$ \leftrightarrow $$ ~ y is equivalent to :
A
$$\left( {x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$
B
$$\left( { \sim x \wedge y} \right) \vee \left( { \sim x \wedge \sim y} \right)$$
C
$$\left( {x \wedge y} \right) \wedge \left( { \sim x \vee \sim y} \right)$$
D
$$\left( {x \wedge \sim y} \right) \vee \left( { \sim x \wedge y} \right)$$
3
JEE Main 2020 (Online) 5th September Morning Slot
Numerical
+4
-0
Change Language
Four fair dice are thrown independently 27 times. Then the expected number of times, at least two dice show up a three or a five, is _________.
Your input ____
4
JEE Main 2020 (Online) 5th September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\alpha $$ is positive root of the equation, p(x) = x2 - x - 2 = 0, then

$$\mathop {\lim }\limits_{x \to {\alpha ^ + }} {{\sqrt {1 - \cos \left( {p\left( x \right)} \right)} } \over {x + \alpha - 4}}$$ is equal to :
A
$${1 \over \sqrt2}$$
B
$${1 \over 2}$$
C
$${3 \over \sqrt2}$$
D
$${3 \over 2}$$
JEE Main Papers
2023
2021
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12