1
JEE Main 2020 (Online) 3rd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Consider the two sets :
A = {m $$ \in $$ R : both the roots of
x2 – (m + 1)x + m + 4 = 0 are real}
and B = [–3, 5).
Which of the following is not true?
A
A $$ \cap $$ B = {–3}
B
B – A = (–3, 5)
C
A $$ \cup $$ B = R
D
A - B = ($$ - $$$$ \propto $$, $$ - $$3) $$ \cup $$ (5, $$ \propto $$)
2
JEE Main 2020 (Online) 2nd September Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If R = {(x, y) : x, y $$ \in $$ Z, x2 + 3y2 $$ \le $$ 8} is a relation on the set of integers Z, then the domain of R–1 is :
A
{0, 1}
B
{–2, –1, 1, 2}
C
{–1, 0, 1}
D
{–2, –1, 0, 1, 2}
3
JEE Main 2020 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If A = {x $$ \in $$ R : |x| < 2} and B = {x $$ \in $$ R : |x – 2| $$ \ge $$ 3}; then :
A
A – B = [–1, 2)
B
A $$ \cup $$ B = R – (2, 5)
C
A $$ \cap $$ B = (–2, –1)
D
B – A = R – (–2, 5)
4
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let A, B and C be sets such that $$\phi $$ $$ \ne $$ A $$ \cap $$ B $$ \subseteq $$ C. Then which of the following statements is not true ?
A
If (A – B) $$ \subseteq $$ C, then A $$ \subseteq $$ C
B
B $$ \cap $$ C $$ \ne $$ $$\phi $$
C
(C $$ \cup $$ A) $$ \cap $$ (C $$ \cup $$ B) = C
D
If (A – C) $$ \subseteq $$ B, then A $$ \subseteq $$ B
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