1
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is :
A
$$\left( {{1 \over 3},2} \right)$$
B
$$\left( {{1 \over 3},{5 \over 3}} \right)$$
C
$$\left( {1,{7 \over 3}} \right)$$
D
$$\left( {{1 \over 3},1} \right)$$
2
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language
The Boolean expression ~(p $$ \Rightarrow $$ (~q)) is equivalent to :
A
p $$ \wedge $$ q
B
q $$ \Rightarrow $$ ~p
C
p $$ \vee $$ q
D
(~p) $$ \Rightarrow $$ q
3
JEE Main 2019 (Online) 12th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the area (in sq. units) bounded by the parabola y2 = 4$$\lambda $$x and the line y = $$\lambda $$x, $$\lambda $$ > 0, is $${1 \over 9}$$ , then $$\lambda $$ is equal to :
A
$$4\sqrt 3 $$
B
2$$\sqrt 6 $$
C
48
D
24
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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